Percentage Calculator

Find a percentage of a number, percentage increase and decrease, percentage change and difference. Live results with steps. Fast, free and no signup.

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What is X% of Y?

Find a percentage of a number.

What is % of ?

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X is what percent of Y?

Find what percent one number is of another.

is what percent of ?

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X is Y% of what number?

Find the whole when you know a part and its percentage.

is % of what number?

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Percentage change from X to Y

Find the percentage increase or decrease between two values.

From to

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Increase X by Y%

Add a percentage to a number, such as a price rise, tax or salary increment.

Increase by %

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Decrease X by Y%

Subtract a percentage from a number, such as a discount.

Decrease by %

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Percentage difference between X and Y

Compare two numbers when neither one is the starting value.

Difference between and

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How to use the percentage calculator

1Pick a calculator

Choose the question that matches your problem, such as percent of a number or percentage change.

2Enter your numbers

Type the values in the boxes. Decimals and negative numbers are fine.

3Read the answer

See the result and the calculation steps, then copy the result if you need it.

PERCENTAGE GUIDE

Percentage Calculator – Free Online Percent Calculator

Need to work out a discount, a marks percentage, a price increase or how much a number has changed? Use this free online percentage calculator to get the answer in a second. It brings the most common percent calculations together on one page: find X percent of a number, find what percent one number is of another, find the whole number from a part, calculate percentage increase and decrease, add or subtract a percentage, and compare two numbers with percentage difference. Every result comes with the calculation steps, so you can learn the method and check your work. It works in your browser, needs no signup, and your numbers are never uploaded.

Percent of a Number

Find a percentage of any number, such as 15% of 80 for a tip or 18% of a bill for tax. You can also find what percent a part is of a total.

Increase and Decrease

Add or subtract a percentage from a number to get a new price, salary, total or discount, and see the exact amount that was added or taken away.

Change and Difference

Measure how much a value grew or fell between two points in time, or compare two separate values using the percentage difference formula.

What Is a Percentage?

A percentage is a number written as a part of 100. The word percent means per hundred, and the symbol is %. So 25% means 25 out of every 100, which is the same as the fraction 25/100, the fraction 1/4 and the decimal 0.25. Percentages make it easy to compare amounts of different sizes, which is why they are used for discounts, interest rates, exam results, taxes, statistics and many other everyday things.

Percentage Formulas

Percentage of a number: result = (percentage / 100) x number. Example: 20% of 150 = (20 / 100) x 150 = 30.
What percent is X of Y: percentage = (X / Y) x 100. Example: 30 is (30 / 150) x 100 = 20% of 150.
Find the whole: whole = (X / percentage) x 100. Example: if 30 is 20% of a number, the number is (30 / 20) x 100 = 150.
Percentage change: change = ((new - old) / old) x 100. Example: from 80 to 100 is ((100 - 80) / 80) x 100 = 25%.
Increase by a percentage: new value = value x (1 + percentage / 100). Example: 200 increased by 15% = 200 x 1.15 = 230.
Decrease by a percentage: new value = value x (1 - percentage / 100). Example: 200 decreased by 15% = 200 x 0.85 = 170.
Percentage difference: difference = (|A - B| / ((A + B) / 2)) x 100. Example: for 50 and 70 it is (20 / 60) x 100 = 33.33%.

Percentage Change vs Percentage Difference

These two are often mixed up. Percentage change has a clear starting point: you compare a new value with an old one, such as a price last month and a price this month. The result can be positive for an increase or negative for a decrease.

Percentage difference is used when two values are equal in importance, for example the heights of two buildings or the prices in two different shops. It divides the gap by the average of the two numbers, so swapping the numbers gives the same answer.

Common Percentages Quick Reference

These shortcuts help you calculate common percentages in your head. The examples use the number 200.

Percent	Same as	Result for 200
1%	Divide by 100	2
5%	Divide by 20, or half of 10%	10
10%	Divide by 10	20
20%	Divide by 5	40
25%	Divide by 4	50
50%	Divide by 2	100
75%	Three quarters	150

Everyday Uses of a Percentage Calculator

Discounts and sales: A 4,000 item with 25% off costs 3,000, because 25% of 4,000 is 1,000.
Exam marks: 412 marks out of 500 is 82.4%.
Tax, GST and service charges: Add a percentage to a price, or take it out to find the price before tax.
Tips: A 15% tip on a bill of 80 is 12.
Salary increments: Find the new salary after a raise of a certain percent.
Business and profit: Work out profit margins, growth rates, sales changes and markups.
Savings and loans: Estimate simple interest amounts and compare rates.
Statistics and reports: Compare numbers between two years, groups or surveys.

Common Percentage Mistakes to Avoid

Using the wrong base: Percentage change is measured against the old value. A rise from 80 to 100 is 25%, but a fall from 100 back to 80 is only 20%.
Adding increases and decreases: A 20% increase followed by a 20% decrease does not bring you back to the start. 100 becomes 120, and 20% less than 120 is 96.
Mixing percent and percentage points: A rate that moves from 10% to 12% rises by 2 percentage points, which is a 20% increase.
Forgetting to divide by 100: To use a percentage in a formula, convert it first, for example 15% becomes 0.15.

Free Online Percentage Calculator Without Installing Software

This percentage calculator works in any modern web browser on desktop, tablet and phone. All calculations happen in your browser, so the numbers you enter are not uploaded or stored. There is no software to install and no account to create. Bookmark the page and use it whenever you need a quick percent calculation.

COMMON QUESTIONS

Frequently Asked Questions About Percentages

Find answers to common questions about calculating percentages, percentage increase and decrease, discounts and percentage difference.

How do I calculate a percentage?

To find a percentage of a number, divide the percentage by 100 and multiply by the number. For example, 20% of 150 is (20 / 100) x 150 = 30. To find what percent one number is of another, divide the first number by the second and multiply by 100.

How do I find X percent of a number?

Use the first calculator on this page. Enter the percentage in the first box and the number in the second box. The tool multiplies the number by the percentage divided by 100 and shows the steps.

How do I calculate percentage increase?

Percentage increase = (new value - old value) / old value x 100. If a price goes from 80 to 100, the increase is (100 - 80) / 80 x 100 = 25%. You can also use the Increase X by Y% calculator to add a percentage to a number directly.

How do I calculate percentage decrease?

Percentage decrease = (old value - new value) / old value x 100. If a value falls from 100 to 80, the decrease is (100 - 80) / 100 x 100 = 20%. The Percentage change calculator shows a decrease as a negative percentage.

What is the difference between percentage change and percentage difference?

Percentage change compares a new value with an old starting value, so the direction matters. Percentage difference compares two values when neither is the starting point, by dividing their gap by their average. Use percentage change for before and after, and percentage difference for comparing two separate things.

How do I find what percent one number is of another?

Divide the part by the whole and multiply by 100. For example, if you scored 412 marks out of 500, the percentage is 412 / 500 x 100 = 82.4%. Use the X is what percent of Y calculator and enter 412 and 500.

How do I find the original number when I know the percentage?

Divide the part by the percentage and multiply by 100. If 30 is 20% of a number, the number is 30 / 20 x 100 = 150. Use the X is Y% of what number calculator for this.

How do I calculate a discount price?

Use the Decrease X by Y% calculator. If an item costs 4,000 and the discount is 25%, the discount amount is 1,000 and the new price is 3,000. You can also find the discount amount first with the What is X% of Y calculator.

How do I add or subtract a percentage such as tax or GST?

To add a percentage, use the Increase X by Y% calculator. Adding 15% to 200 gives 230. To subtract a percentage, use the Decrease X by Y% calculator. Subtracting 15% from 200 gives 170. This works for sales tax, GST, tips, service charges and salary increments.

Why is a rise from 80 to 100 equal to 25% but a fall from 100 to 80 only 20%?

Percentage change is always measured against the starting value. The gap is 20 in both cases, but 20 is 25% of 80 and only 20% of 100. This is why increases and decreases of the same percentage do not cancel each other out.

What is the difference between percent and percentage points?

Percentage points are the plain difference between two percentages. If an interest rate moves from 10% to 12%, it rises by 2 percentage points, but it is a 20% increase compared with the old rate.

Can a percentage be more than 100%?

Yes. A percentage above 100% means the part is bigger than the whole you compare it with. For example, 150 is 150% of 100, and a value that doubles has increased by 100%.

Can I use decimals and negative numbers?

Yes. You can enter decimals such as 12.5 and negative numbers. You can also type numbers with commas, such as 1,500. Results are rounded to a maximum of 6 decimal places.

Is my data saved or uploaded anywhere?

No. All calculations happen in your browser. The numbers you enter are not sent to a server and are not stored.

Is this percentage calculator free?

Yes. The percentage calculator is completely free to use, with no signup and no limits.

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