Percentage Calculator

Calculate what a percentage is in absolute terms, what percentage one number is of another, what the whole is when you know the part and the percentage, or how large a percentage change is.

Result
170
20 % of 850
Result
20 %
170 of 850
The whole
850
170 is 20 % of this number
Change
+20 %
From 850 to 1020
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How to use the percentage calculator

  1. Choose which type of percentage calculation you need with the buttons above the calculator.
  2. Enter your numbers — the calculator works out the answer automatically as you type.
  3. Read the explanation below to understand how the answer was calculated.

How percentages are calculated

Percent means "per hundred", and every percentage calculation builds on the same base formula:

Part ÷ Whole × 100 = Percent

To find what X % of Y is, rearrange the formula: take the percentage divided by 100, and multiply by the number. To find 20 % of 850, you calculate 20 ÷ 100 × 850 = 170.

To find what percentage A is of B, use the base formula directly: 170 ÷ 850 × 100 = 20 %.

To reverse the calculation — you know the part and the percentage, but want the whole — flip the "X % of Y" formula around: divide the part by the percentage (as a fraction). If 170 makes up 20 % of a number, that number is 170 ÷ (20 ÷ 100) = 850.

To find a percentage change between two numbers, use the formula (new value − old value) ÷ old value × 100. If a number goes from 850 to 1020, the change is (1020 − 850) ÷ 850 × 100 = 20 % increase.

Frequently asked questions

How do I calculate a percentage discount?

Use the "X % of Y" tab. Enter the discount percentage and the original price — the result shows how much you save. Subtract this from the original price to find the new price.

Can I calculate a negative percentage change?

Yes. Use the "% change" tab. If the number decreases, the calculator shows a negative percentage, meaning a decline.

What's the difference between percentage points and percent?

Percentage points are the direct difference between two percentage shares (e.g. from 20 % to 25 % is 5 percentage points), while percent change calculates how large the relative change is (5 ÷ 20 × 100 = 25 % increase).

I know 170 is 20 % of a number — how do I find the number?

Use the "Reverse %" tab. Enter 170 as the part and 20 as the percentage — the calculator works out that the whole is 850. This is useful when you know a discount amount and the discount percentage, for example, and want to find the original price.

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