Percent Change Calculator

Percent increase or decrease from an old value to a new value, with the absolute change and multiplier.

Percent increase

50%

Absolute change
25
Direction
Increase
New ÷ original (multiplier)
1.5

How it works

Percent change measures how much a value grew or shrank relative to where it started. A positive result is an increase and a negative result is a decrease.

Because the starting value is the reference, percent changes are not symmetric: going from 50 to 75 is a 50% increase, but going back from 75 to 50 is a 33.33% decrease.

Formula

percent change = (new − original) ÷ |original| × 100

Questions people ask

Why does a 50% drop need a 100% gain to recover?

After a 50% drop, 100 becomes 50. To get from 50 back to 100 you must add 50, which is 100% of the new, smaller base.

What is the difference between percent change and percentage points?

If a rate goes from 4% to 5%, that is a 1 percentage-point increase but a 25% percent change, because 1 is 25% of 4.

Can I calculate percent change from zero?

No. Dividing by a starting value of zero is undefined, so the change can only be described in absolute terms.