Calculator

Percentage calculator

Three everyday percentage questions, answered as you type.

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The formulas

  • X% of Y: X ÷ 100 × Y. For example, 15% of 80 is 12.
  • X is what percent of Y: X ÷ Y × 100. For example, 12 is 25% of 48.
  • Percentage change: (new − old) ÷ old × 100. Going from 50 to 65 is a 30% increase.

A common mistake

Percentage changes don't cancel out. A price that rises 20% and then falls 20% ends up 4% lower than where it started, because the fall is taken from the higher price.

Questions people ask

How do I work out a discount?

Use the first calculator: a 30% discount on $60 is 30% of 60, which is $18 off, so you pay $42.

What's the difference between percent and percentage points?

If a rate goes from 4% to 5%, it rose by 1 percentage point, but by 25% in relative terms.

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