Calculator

Percentage Calculator

A free online percentage calculator. Work out a percent of a number, a percentage increase or decrease, percent change, or the difference between two values.

Calculator

Enter your values and read the result.

30

15% of 200 is 30

Runs in your browser. Your entries are calculated on this device. Ziannah does not store the values you enter here.

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Pick the calculation you need

Each calculation has its own page with the formula, the steps, and a worked example.

The percentage formulas

Almost every percentage question is one of these three. The hard part is usually deciding which one you are being asked, not doing the arithmetic.

A percent of a number
percent ÷ 100 × number
15% of 200 is 0.15 × 200 = 30
What percent one number is of another
part ÷ whole × 100
25 out of 200 is 25 ÷ 200 × 100 = 12.5%
Percentage increase or decrease
(new − original) ÷ original × 100
40 to 46 is 6 ÷ 40 × 100 = a 15% increase

The mistake that costs people money

Percentages are always a share of something, and the answer changes when that something changes. Dividing by the wrong number is the usual error. For an increase or a decrease, divide by the value you started from, never by the value you ended with. Going from 40 to 50 is a 25% increase, because the rise of 10 is measured against 40. Measured against 50 you would get 20%, which is the answer to a different question.

Common questions

How do you calculate a percentage?

It depends which question you are asking. To find a percent of a number, divide the percent by 100 and multiply. To find what percent one number is of another, divide the part by the whole and multiply by 100.

How do you calculate percentage increase?

Subtract the original value from the new one, divide by the original value, then multiply by 100. Going from 40 to 46 is a 15% increase.

What is the difference between percentage change and percentage difference?

Percentage change measures against the value you started from and has a direction. Percentage difference compares two values against their average, so it has no direction and the order does not matter.

Why do a 20% decrease and a 20% increase not cancel out?

Because the second percentage is taken from a different number. Drop 100 by 20% and you get 80. Raise 80 by 20% and you get 96, not 100.

Is the percentage calculator free?

Yes. It is free to use online, needs no account, and the working happens in your browser so nothing you enter is uploaded.

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