Calculators

Percentage Calculator

Calculate percentages quickly and easily. Find a percentage of a number, determine what percentage one number is of another, or calculate percentage increase and decrease.

Percentage Calculator Tool

Find a percentage of a number -- e.g. 20% of 5, or 20% of a 5 GB quantity.

Result
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How to Calculate a Percentage

A percentage tells you how big one number is compared to another, expressed as a fraction of 100. To find what percentage a "part" is of a "whole," divide the part by the whole and multiply by 100.

Formula

Percentage = (Part ÷ Whole) × 100

Example

45 out of 60
(45 ÷ 60) × 100 = 75%
Therefore, 45 is 75% of 60.

How to Calculate a Percentage of a Number

To find a percentage of a number, convert the percentage to a decimal fraction by dividing by 100, then multiply it by the number.

Formula

Percentage of a number = (Percentage ÷ 100) × Number

Example

25% of 200
(25 ÷ 100) × 200 = 50
25% of 200 is 50.

This works the same way for quantities with units, since the math doesn't care what's being measured -- 20% of 5 GB is 1 GB, and 20% of $5 is $1. The calculation is identical; you just keep whatever unit the original quantity was in.

How to Calculate Percentage Increase

Percentage increase measures how much a value has grown, relative to where it started. Subtract the original value from the new value, divide by the original value, then multiply by 100.

Formula

((New Value − Original Value) ÷ Original Value) × 100

Example

A product's price rises from $40 to $50
((50 − 40) ÷ 40) × 100 = 25%
That's a 25% increase.

Note that a percentage increase isn't the same thing as a "percentage point" change -- going from 40% to 50% is a 25% relative increase, but it's also described as a 10 percentage-point increase. See Percentage Points vs Percentages for a full explanation of the difference.

How to Calculate Percentage Decrease

Percentage decrease measures how much a value has fallen, relative to where it started. Subtract the new value from the original value, divide by the original value, then multiply by 100.

Formula

((Original Value − New Value) ÷ Original Value) × 100

Example

A product's price drops from $50 to $40
((50 − 40) ÷ 50) × 100 = 20%
That's a 20% decrease.

Common Percentage Calculations

A quick-reference table of frequently searched percentage calculations.
Calculation Answer
10% of 10010
15% of 20030
20% of 500100
25% of 20050
30% of 30090
50% of 500250
75% of 400300
20% of 51
45.5 out of 6075.83%

Finding the Original Number From a Percentage

Sometimes you know a result and the percentage it represents, but need to work backward to the original number -- for example, "552 is 92% of what number?" Divide the result by the percentage (as a decimal) to find it.

Formula

Original = Result ÷ (Percentage ÷ 100)

Example

552 is 92% of what number?
552 ÷ (92 ÷ 100) = 552 ÷ 0.92 = 600
The original number is 600.

Need to add or subtract days, weeks, months, or years from a date? Use our Date Calculator.

Frequently Asked Questions

What is a percentage?

A percentage is a way of expressing a number as a fraction of 100. The symbol "%" means "out of 100" — for example, 25% means 25 out of every 100.

How do I calculate a percentage of a number?

Divide the percentage by 100, then multiply by the number: (Percentage ÷ 100) × Number. For example, 25% of 200 is (25 ÷ 100) × 200 = 50.

How do I calculate what percentage one number is of another?

Divide the part by the whole, then multiply by 100: (Part ÷ Whole) × 100. For example, 50 is (50 ÷ 200) × 100 = 25% of 200.

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

Divide the result by the percentage, expressed as a decimal: Original = Result ÷ (Percentage ÷ 100). For example, if 552 is 92% of a number, that number is 552 ÷ 0.92 = 600.

How do I calculate percentage increase?

Subtract the original value from the new value, divide by the original value, then multiply by 100: ((New − Original) ÷ Original) × 100. Going from 100 to 150 is a 50% increase.

How do I calculate percentage decrease?

Subtract the new value from the original value, divide by the original value, then multiply by 100: ((Original − New) ÷ Original) × 100. Going from 150 to 100 is a 33.33% decrease.

Can this percentage calculator handle decimals?

Yes. All four calculator modes accept decimal values, and results are rounded to two decimal places so answers stay easy to read.

Can I calculate percentages of quantities that have units, like GB or dollars?

Yes. The math is the same regardless of unit -- 20% of 5 GB is 1 GB, and 20% of $5 is $1. Enter just the number into the calculator; the unit stays whatever it started as.

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