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Percentage Increase Calculator

Find the percentage increase or decrease between two numbers, increase or decrease a number by a percentage, or work back to the original value — with the formula worked out step by step.

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Percentage change
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Multiplier
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Step-by-step solution

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How to calculate percentage increase

Percentage increase tells you how much a value has grown compared with where it started. Subtract the original value from the new value, divide by the original value, and multiply by 100:

Percentage increase = (New value − Original value) ÷ Original value × 100

Example: a price rises from 80 to 100. The increase is 100 − 80 = 20, and 20 ÷ 80 × 100 = 25%. If the result is negative, it is a percentage decrease — for example, from 100 to 80 is (80 − 100) ÷ 100 × 100 = −20%.

Other percentage formulas

  • Increase a number by X%: number × (1 + X ÷ 100)
  • Decrease a number by X%: number × (1 − X ÷ 100)
  • Original value before an X% increase: final value ÷ (1 + X ÷ 100)

Frequently Asked Questions

Percentage increase = (new value − original value) ÷ original value × 100. For example, going from 50 to 65 is (65 − 50) ÷ 50 × 100 = 30%.

Because each percentage is taken from a different starting value. 100 increased by 20% is 120, but 120 decreased by 20% is 96, not 100. To get back to 100 from 120 you need a decrease of 16.67%.

Yes. A 100% increase means the value has doubled, 200% means it has tripled, and so on. Going from 40 to 140 is a 250% increase.

Divide the final value by (1 + percentage ÷ 100). If a price is 115 after a 15% increase, the original was 115 ÷ 1.15 = 100. Choose “Original value before a % increase” above to do this automatically.

Percentage points are the simple difference between two percentages, while percentage change is relative. An interest rate going from 4% to 5% is a rise of 1 percentage point, but a 25% increase.
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