You can use this percentage calculator for discount calculation while shopping, for calculating the tip in restaurants, for taxes, for grades in studies, for commissions, for budgeting, for financial matters, and for more. You can easily copy your result, save the result, or clear fields to start a new calculation.
In order to get a percent of a number, divide the rate by 100 and multiply it by the total number.
In the case above, P stands for the rate and N stands for the total number.
For example:
Thus, 10 percent of 100 equals 10.
How to Use the Tool
The tool has been developed for one sole purpose – finding the percentage of a certain number.
- Type the rate into the Percentage box.
- Type the total number into the Total Number box.
- See the answer in the Results section.
- Look at the sentence that is placed right after the result in order to make sure you understand the meaning of the result.
- Look at the equation that is shown when you need to check the calculations.
- Press Copy in order to copy the result.
- Press Save in order to save the result.
- Press Reset in order to reset the fields.
For example, type 25 into the first field and 200 into the second field. You will get 50 as the result because 25 percent of 200 equals 50.
What Each Input Means
Percentage
This is where you input the rate that you will use on the total figure. Input the rate as is normally expressed without changing it into a decimal.
Examples:
- Input 15 for 15 percent.
- Input 7.5 for 7.5 percent.
- Input 0.25 for one-quarter percent.
- Input 125 for 125 percent.
Rates could be in the form of whole numbers or decimals. Rates could also be less than 1 or more than 100 depending on the need.
Total Number
The total number is the full figure whose part will be calculated using the rate inputted. The total number could be in terms of money, score, goods, people, distance, weight, sales, inventory, or any other quantifiable value.
Some common instances include:
- A restaurant bill of $75
- A test worth 200 marks
- A warehouse of 1,500 units of goods
- An annual salary of $60,000
- A project that involves 80 total tasks
Result
The result refers to the quantity that represents the rate you inputted. It is not the rate but the computed portion of the whole.
Example: 20 percent of $75 is $15. In this instance:
- 20 percent is the rate.
- $75 is the full amount.
- $15 is the result.
Percentage Calculation Formula
The general formula to find the part of the total is:
The above calculation may also be done as follows by changing the rate into a decimal first:
In the above example, 15% is changed into 0.15.
Thus, the answer will be 36.
It changes the rate into a decimal automatically. In other words, you may enter 15 rather than 0.15.
Worked Examples
| Question | Calculation Method | Answer |
| What is 10% of 100? | Multiply 100 by 0.10 | 10 |
| What is 25% of 200? | Multiply 200 by 0.25 | 50 |
| What is 12.5% of 80? | Multiply 80 by 0.125 | 10 |
| What is 5% of 640? | Multiply 640 by 0.05 | 32 |
| What is 0.5% of 600? | Multiply 600 by 0.005 | 3 |
| What is 35% of 1,250? | Multiply 1,250 by 0.35 | 437.5 |
| What is 75% of 48? | Multiply 48 by 0.75 | 36 |
| What is 125% of 40? | Multiply 40 by 1.25 | 50 |
| What is 150% of 60? | Multiply 60 by 1.50 | 90 |
| What is 2.75% of 400? | Multiply 400 by 0.0275 | 11 |
It can be seen from the above examples that the rate is not always a whole number. It can also be below or more than 100.
Which Percentage Question Are You Solving?
There is no single way to solve any problem related to the rate since some similar problems might require different formulas.
| Your Question | Method | Suitable Option |
| What is P% of N? | Multiply N by P and divide by 100 | Use this page |
| A is what percent of B? | Divide A by B and multiply by 100 | Rate calculation |
| A is P% of what number? | Divide A by the decimal form of P | Reverse calculation |
| How much did a value increase? | Compare the increase with the original value | Percentage increase calculator |
| How much did a value decrease? | Compare the decrease with the original value | Percentage decrease calculator |
| What is the change from old to new? | Compare the difference with the starting value | Percentage change calculator |
| How different are two equal-status values? | Divide the difference by the average | Percentage difference calculator |
| How much money is saved in a sale? | Multiply the price by the discount rate | Use this page |
| What was the original amount? | Divide the final amount by the remaining rate | Reverse percentage calculator |
The current webpage is designed for those who are going to find a part of the total using a known rate.
How to Calculate a Percentage Manually
To find the percentage of a number, you should carry out three easy calculations.
If you have to find 18 percent of 350.
Step 1: Divide the Rate by 100
Step 2: Multiply by the Total
Step 3: Label the Answer
The answer is 63.
It all depends on the total number you deal with. The answer may be $63, 63 points, 63 pieces, or 63 units.
How to Calculate a Percentage on a Regular Calculator
There is no need to use a calculator with a percent button for such calculations.
For example, to calculate 22 percent of 450, press the keys as follows:
22 ÷ 100 × 450
The result is:
99
However, you can also express the rate as a fraction and then write it down as follows:
450 × 0.22
Both methods give you the same result.
Most of all handheld calculators have special settings of the percent key based on the preceding operation performed. To obtain the right result, it is better to divide the number by 100 first.
How to Find 1%, 10%, 25%, and 50% Mentally
Several popular percentages can be calculated instantly without using any equations.
Find 1%
Move the decimal point two digits to the left.
- 1 percent of 900 is 9.
- 1 percent of 72 is 0.72.
- 1 percent of 4,500 is 45.
Find 10%
Move the decimal point one digit to the left.
- 10 percent of 450 is 45.
- 10 percent of 36 is 3.6.
- 10 percent of 1,280 is 128.
Find 25%
Divide the number by four.
- 25 percent of 200 is 50.
- 25 percent of 84 is 21.
- 25 percent of 1,000 is 250.
Find 50%
Divide the number by two.
- 50 percent of 180 is 90.
- 50 percent of 47 is 23.5.
- 50 percent of 1,250 is 625.
Find 5%
Find 10 percent and divide the result by two.
For example, 10 percent of 260 is 26. While half of 26 is 13, so 5 percent of 260 is 13.
Discount and Percentage-Off Calculations
A standard calculation for a discount consists of two solutions:
- The amount you save
- The final price you pay
This calculator will give you how much you save instantly.
Let’s say the jacket that you want to buy costs $85 and has a discount of 20 percent.
The discount is $17.
Subtract the discount from the initial price:
The final price is $68.
Discount Formulas
To find the discount amount:
To find the sale price:
Discount calculators may provide the amount saved or the final amount due to be paid. Make sure to understand which one it is before making a purchase decision.
Tip Calculations
You can calculate the tip in the restaurant by entering the percentage you would like to pay and the subtotal amount of the bill.
An 18 percent tip for the bill of $62.50 is:
The tip is $11.25.
Now add the tip to the initial bill amount:
The total amount is $73.75 before other additional fees.
When there are multiple people who share the bill, calculate the total amount first and then divide it among the number of people.
Tax Estimates
Tax Estimates
When the tax rate is known, one can use the tool for estimating the tax.
If the tax rate is 8.25 percent and the price is $120:
The tax estimate will be $9.90.
Adding the tax to the price gives the following:
The estimate total will be $129.90.
The rules regarding taxes vary depending on the state, city, kind of product or service, or transaction. Shipping, fees, rebates, and particular goods are exempted from taxes. The tool works only with the entered tax rate and doesn’t calculate the correct rate of taxation of a particular purchase.
Grades and Test Scores
This tool will help you find how many points will give a particular score.
For example, a test is rated by 200 points, and you need to know how many points will give an 85 percent grade.
In this case, the student will need 170 points for 85 percent.
Calculating the grade by points received is done in another way.
Thus, if the student receives 170 points out of 200:
The grade is 85 percent.
However, some classes have categories that are assigned weights, including homework, quizzes, projects, and final exams. If each category counts differently towards the overall grade, use the weighted grades method instead of simply averaging them.
Business, Profit, and Budget Uses
Rates are used in converting business objectives, ratios, and allocations to the dollar amounts.
Commission
Assume a person earns a commission rate of 6 percent of sales of $18,000.
The commission is $1,080.
Marketing Budget
Assume a company allocates 12 percent of an operating budget of $50,000 for marketing.
The marketing budget is $6,000.
Profit Target
Assume a firm has a profit objective that equals 15 percent of sales of $80,000.
The profit objective is $12,000.
Note: Profit margin and markup are two different measures. Markup compares profit to cost, while the margin compares profit to selling price. Verify always what base is used in computations.
Percentage Increase
A percentage increase involves comparing a new value to the original value.
Use the following formula:
If a price increases from $80 to $100.
The price will have increased by 25%.
If the increase rate is known, you may calculate the new value as follows:
for example, a 15% increase of $400 gives:
The new value is $460.
Percentage Decrease
Percentage decrease measures the decrease of a value in relation to its original value.
Use this formula:
For example, a price that decreases from $250 to $200.
The price decreased by 20 percent.
If the reduction rate is known, then you can calculate as follows:
For instance, a 30% reduction of 600 will give the following:
The remaining value is 420.
Percentage Change Between Two Numbers
A percentage change involves measuring the change of a value in relation to its initial value.
Use:
Positive values indicate an increase, negative indicates a decrease, and zero indicates that there is no change.
For example, suppose a value changes from 150 to 180.
The increase is 20 percent.
Let’s now take the case where the value goes down from 180 to 150.
The percentage drop is around 16.67 percent.
They are not precisely opposite since the calculation is done with different initial values.
Percentage Difference Between Two Numbers
The percentage difference will come in handy when none of the two figures should be considered as the initial figure.
Use:
For example, compare the difference between 50 and 75.
The percentage difference is 40 percent.
This does not mean that the percentage increase from 50 to 75 is 40 percent. The difference calculation takes both numbers as equal, while the change calculation makes the comparison between a new figure and the old one.
Use the Related Codlico Percentage Difference Calculator Between Two Numbers for this purpose.
Reverse Percentage Calculations
This type of calculation helps you calculate the whole figure when you already have the part and its percentage.
Use:
If 20 percent of an unknown amount is $30.
The original total is $150.
Original Price Before a Discount
Assume an item was priced at $72 after a discount of 20 percent. In this case, the customer has paid 80 percent of the original price.
The original price of the item was $90.
Remember not to divide the price after the discount by the rate of the discount but by the remaining percentage after the discount.
Percent of a Percent
In order to determine the percent of a given percent, one must convert both percents into decimals and multiply.
In the case of 20 percent of 50 percent:
Change the decimal back to the rate:
Hence, 20 percent of 50 percent is equal to 10 percent of the original whole.
This will be helpful when finding the percent of a portion from a bigger whole.
Fraction to Percentage
In order to convert a fraction to a percentage, divide the top number by the bottom number and then multiply the result by 100.
For the fraction three-fourths:
Then:
Therefore:
More examples:
| Fraction | Decimal | Percent |
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/5 | 0.6 | 60% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
A fraction of denominator zero is undefined and hence cannot be converted.
From Decimal to Percent
In order to convert a decimal into a percent, we need to multiply it by 100.
Alternatively, this can be achieved by moving the decimal place two times to the right.
For the reverse operation we should divide the rate by 100.
Average Percentage
Simple average is applicable only if all the rates carry the same weight.
For 70%, 80%, and 90%:
The percentage average is 80%.
However, for the percentage rates, which are based on different sums of money, we should use weight.
Suppose one class got 90% on 10 questions, while the other one got 70% on 100 questions. The average will be 80%, but it does not take into account the different numbers of questions.
First, we have to convert the rate into earned points.
Secondly, we add earned points and total points.
The weighted solution is approximately 71.82%.
How to Calculate Percentage in Excel
Excel and Google Sheets store the percentages as decimals, although the cell shows us the percent sign.
Find a Percent of a Number
Where A2 contains the total and B2 contains the correctly formatted rate, use the following:
=A2*B2
If B2 contains a simple number like 15, rather than 15%, use the following:
=A2*B2/100
Find What Percent One Number Is of Another
Use:
=A2/B2
Then apply percentage format to the result cell.
Calculate an Increase
Where A2 contains the original value and B2 contains the new value, use:
=(B2-A2)/A2
Apply percentage format to the result.
Calculate a Discounted Price
Where A2 contains the original price and B2 contains the discount rate, use the following:
=A2*(1-B2)
All of these formulas work in Google Sheets too.
Percent Versus Percentage Points
A percentage point is used to measure the direct difference between two percentages.
If a rate goes up from 20% to 25%, then the direct change is 5 percentage points.
The relative change can be calculated as:
Both calculations are valid, but they are measuring different concepts:
- 5 percentage points = direct difference between the two rates.
- 25 percent = relative difference between the two rates.
That difference becomes important when talking about interest rates, election results, surveys, pass rates, approval rates, and market share.
Can a Percentage Be Greater Than 100?
Yes, if the percentage rate is more than 100, then the resulting value will be more than the initial whole.
For example:
Since 125 percent means that apart from the entire original, there is another 25 percent.
More examples:
- 100 percent of 50 is 50.
- 150 percent of 50 is 75.
- 200 percent of 50 is 100.
- 250 percent of 50 is 125.
Rates above 100 percent are commonly used in growth, goals, output, capacities, and other financial percentages.
Can a Percentage Be Less Than 1?
Yes, such small rates, less than 1 percent, are usually used as fees, interest rates, defect rates, concentrations, risk rates, and scientific percentages.
For example:
The result is 20.
Be careful while converting such percentages to decimals. One-quarter percent equals 0.0025 in decimals and not 0.25.
Zero and Negative Values
The special case to consider when finding the percentage is zero.
- Any rate multiplied by a total of zero will give you zero.
- Zero percent of any rate will be zero.
- Determination of what percent a quantity is of zero is not possible since you cannot divide by zero.
- 100 percent reduction in quantity will reduce the positive original quantity to zero.
- Reduction higher than 100 percent gives a negative value in purely mathematical models.
Negative numbers and totals can have practical applications in accounting, finance, calculations involving debts or losses, temperature fluctuations, and sciences. The interpretation will depend on the specific context and therefore always consider the signs of the numbers and the initial value before working with the result.
Rounding and Decimal Precision
Most values will have decimals included. Monetary answers should typically be rounded to two decimal places. Other types of calculations such as in sciences, statistics, engineering, or contracts may need more precision.
For example:
If the number is related to currency, it should usually be rounded to $90.63.
Do not round intermediate answers because you can keep the full value in your calculations and then round the final answer.
Successive Percent Changes Do Not Simply Cancel
A percentage increase followed by the same percentage decrease does not cancel each other out.
Consider 100 increased by 10 percent:
Then reduce 110 by 10 percent:
The final value is 99, which is 1 percent less than the initial value.
The second percentage is applied to 110 and not the initial 100. If there is a series of percentage changes, apply each change to the most recent value.
Common Calculation Mistakes
Treating the Rate as a Whole Number
When there is a need for multiplying something by 20 percent, it should be expressed as 0.20 first.
Incorrect:
Correct:
Confusing the Part With the Final Total
When there is a 15 percent discount from $100, then the discount amount will be equal to $15; however, the sale price will be $85. The difference between these amounts needs to be noticed.
Using the Wrong Baseline
The percentage change would normally be based on the initial value. The use of a new value in the denominator yields a different result.
Averaging Unequal Groups Directly
An arithmetic mean of rates calculated from two groups of different sizes would yield an incorrect result. It is because of the different sizes of the groups.
Assuming Equal Increases and Decreases Cancel
A 25% increase in some value, it does not need a 25% decrease to get back to its initial level. If the initial value goes up by 25%, a 20% decrease takes it back to the starting point.
Mixing Percent With Percentage Points
A change from 4 percent to 5 percent represents a difference of 1 percentage point but, at the same time, a 25 percent relative difference.
Rounding Before the Final Step
Early rounding may affect the final result, particularly if the amounts involved are big or many calculations are required.
When a Specialized Tool Is Required
A universal mathematics calculator must not be used as a substitute for a body fat percentage calculator, a blood alcohol percentage calculator, a weight loss percentage calculator, an annual percentage rate calculator, an annual percentage yield calculator, a VA disability percentage calculator, a GPA converter, and a poker probability calculator.
Such calculations might involve body measurements, compounding periods, legal tables, medical information, a system of weighting of grades, or other types of probabilities. Always use a specialized instrument and a reliable professional source if your health, lending, legal, financial, or academic decision depends on the outcome.
Why Choose This Online Percentage Calculator?
This calculator gives you an immediate response that includes how the calculations were done.
It offers:
- Immediate solution based on two easy entries
- Clear language description
- Visible equation for verification of the calculations
- Ability to calculate whole number and decimal percentages
- Option to copy the solution for easy reference
- Option to save the solution for future reference
- Option to reset for starting another calculation
- No registration needed for regular use
The user-friendly interface will be very helpful to students who are learning the calculation process, consumers who want to compare discounts, employees who want to check commission, and professionals who need an immediate response without accessing spreadsheets.
Frequently Asked Questions
What is a percentage calculator?
It is a utility that deals with quantities given as parts of one hundred. On this page, you will find a given percentage of the total by multiplying the entire number by the rate divided by one hundred.
How do I find the percentage of a number?
Divide the rate by one hundred, and multiply it by the number. For example, 20% of 150 is 0.20×150=30.
Is it possible to use decimal percentages?
Yes, it is possible to enter the rate as 12.5 (12.5 percent). The program will convert it into 0.125 and multiply it by the total.
What is 10% of 100?
The answer to this is 10 because 10÷100×100=10.
How do I calculate percentages using a normal calculator?
Put the rate, divide by 100, and multiply by the total. To get 15% of 80, you will put 15÷100×80=12.
Is a percentage ever greater than 100?
Yes, if the percentage is above 100%, then the resultant part is bigger than the original whole. An example would be 150% of 40 = 60.
How do I calculate a percentage off?
Get the original price multiplied by the discount rate. The result will give you the saving, which you will have to subtract from the original price.
How do I calculate percentage increase?
You get the difference between the new number and the original number, then divide by the original number and finally multiply by 100.
How do I calculate percentage decrease?
Get the difference between the original number and the new number. Then divide by the original number and multiply by 100.
How do I calculate percentage change between two numbers?
Take the difference between the new and old values. Divide the difference by the old value and multiply it by 100. If the answer comes out positive, it means there has been an increase. If the answer comes out negative, it means there has been a decrease.
What is the difference between percentage change and percentage difference?
Percentage change is when you compare the new value with the old value. You get a number that represents both magnitude and direction. Percentage difference is when you compare two values without making any of them a starting point. You use the mean of two values as your reference.
How do I find the original number from a known percentage?
First convert the percentage into its equivalent decimal form and then divide the known number by this decimal form. For example, suppose 30 is 20 percent of an unknown number. This would mean that the original number is 30/0.20 = 150.
How do I change a fraction into a percentage?
Take the number on top and divide it by the number at the bottom. Then take the resulting decimal and multiply it by 100. For instance, dividing 3 by 4 gives you 0.75. Multiplying that by 100 means the fraction is equal to 75 percent.
How do I find percentages in Excel/Google Sheets?
If one cell holds the number and the other holds a correctly formatted percentage, simply multiply the two cells. As an example, if cell A2 holds 200 and B2 holds 15 percent, type =A2*B2. This gives you 30. If the rate is written in as a number, like 15 instead of 15 percent, you should type =A2*B2/100.
Is this free online tool, and may I save the result?
This online tool is totally free for everyone to use, and no account is required. You can either copy your answer to use somewhere else or click Save to save a visual copy of the result.
