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Percentage Change Calculator

Express the change from an old value to a new value as a percentage. Your inputs stay in this browser.

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Result

Percentage change

25%

What this calculator measures

Percentage change compares a new value with an old value and uses the absolute old value as the denominator, preserving direction for negative baselines.

Formula

% Change = ((New Value - Old Value) / |Old Value|) x 100

Worked example

  1. 1A value moves from 80 to 100.
  2. 2The increase is 20; 20 / |80| x 100 = 25%.

How to interpret the result

Positive means upward movement and negative means downward movement under this signed convention.

Common mistakes and limits

  • Reversing old and new values, using zero as baseline, or confusing percentage change with percentage-point change.

Frequently asked questions

Why is old value absolute?

It keeps the denominator positive while the numerator carries direction.

Why is zero invalid?

Relative change from a zero baseline is undefined.

Are percentage points different?

Yes. Moving from 20% to 25% is five percentage points but 25% relative growth.

Last reviewed: July 26, 2026

Published by Calculator Hub