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Percent Change Calculator

Calculate the percent change from an old value to a new one, the absolute difference, and the percentage needed to get back to where you started.

Percent change tells you how big a change is relative to where you started. It is the standard way to compare price rises, pay increases, sales growth or a drop in website traffic, because a change of 20 means something very different on a base of 80 than on a base of 8,000. Enter the old and new values to get the percentage, the raw difference and the change you would need to reverse it.

How to use this tool

  1. Enter the original (old) value.
  2. Enter the new value.
  3. Read the percent change: positive means an increase, negative a decrease.
  4. Check "Change needed to return to the old value" to see what it takes to undo the move.

Formula

Percent change = (new − old) ÷ |old| × 100

The old value is the base, so the order matters: swapping old and new gives a different percentage. Dividing by the absolute value of the old value keeps the sign meaningful when the starting value is negative, such as a loss shrinking to a smaller loss.

Example

A phone plan goes from $80 to $100 a month. The change is 100 − 80 = $20, and 20 ÷ 80 × 100 = +25%. To get back from $100 to $80 the price would have to fall by 20 ÷ 100 = 20%, not 25%, because the base is now larger.

Frequently asked questions

What is the difference between percent change and percent difference?

Percent change has a direction: it measures from an old value to a new one. Percent difference compares two values with no starting point and divides the gap by their average, so 80 and 100 differ by about 22.2%.

Can percent change be more than 100%?

Yes, for increases: going from 50 to 150 is +200%. For positive values a decrease cannot go below −100%, which means the value fell all the way to zero.

Why can’t I calculate a change from zero?

Any increase from 0 is infinitely large relative to 0, so the percentage is undefined. Report the absolute change instead, or measure from the first non-zero value.

How do I combine two percent changes?

Multiply the growth factors rather than adding the percentages. A 10% rise followed by a 10% fall is 1.10 × 0.90 = 0.99, a net decrease of 1%.

Last updated: 2026-10-30

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