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Education & Math

Percentage Increase Calculator

Going from 100 to 125 is a 25% increase. Going from 80 to 60 is a 25% decrease. This calculator takes a starting value and an ending value and returns the percentage change between them, labeled as an increase or a decrease. Use it for price changes, salary raises, traffic growth, or any before and after comparison.

Education & MathBy

Quick answer

Percentage change = (final - initial) / initial x 100.

Change

25% increase

Difference

25

What this tells you

  • Percentage change = (final - initial) / initial x 100.
  • A positive result is an increase and a negative result is a decrease.
  • The change is always measured against the starting value.
  • A 50% increase followed by a 50% decrease does not return to the start.

How to Use

  1. 1Enter the initial value, the before number.
  2. 2Enter the final value, the after number.
  3. 3Read the percentage change and its direction below.

How It Works

Formula

% change = (final - initial) / initial x 100

Subtract the initial value from the final value, divide by the initial value, then multiply by 100. From 100 to 125 that is 25 divided by 100 times 100, a 25% increase. The division uses the starting value, which is why the same 25 point move from 125 back to 100 is only a 20% decrease.

Calculation note: values are processed in the order shown above, using the current input units.

Worked Examples

Price rises from $100 to $125

Initial Value100
Final Value125
Result25% increase

The difference of 25 divided by the starting 100 is 0.25, a 25% increase.

Traffic drops from 80 to 60

Initial Value80
Final Value60
Result25% decrease

The difference of -20 divided by 80 is -0.25, a 25% decrease.

Percentage Change Examples

How the same numbers read in each direction.

FromToChange
10012525% increase
12510020% decrease
507550% increase
755033.33% decrease
20022010% increase
40100150% increase

The percentage differs by direction because the change is measured against the starting value.

Common mistakes

  • Dividing by the final value instead of the initial value. The starting number is always the base.
  • Treating percentage points and percent as the same. Going from 10% to 15% is a 5 point rise but a 50% increase.
  • Expecting reverse symmetry. A 25% increase is undone by a 20% decrease, not 25%.

Frequently Asked Questions

Subtract the original value from the new value, divide by the original value, and multiply by 100. From 100 to 125 that is a 25% increase.
It is a 25% increase.
The formula is the same and the result comes out negative. Going from 80 to 60 gives -25%, which reads as a 25% decrease.
Because the base changes. The 25 point difference is divided by 100 in the first case and by 125 in the second.
No. Percentage change divides by the starting value, and dividing by zero is undefined. Any growth from zero is infinite in percentage terms.
It estimates percentage increase calculator outputs using the visible inputs and formula assumptions on this page.

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