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Understanding the base in percentage change

Divide by the original value

Percentage change uses the difference between new and old values, divided by the old value, multiplied by 100. A move from 80 to 100 is an increase of 25%.

Direction changes the answer

A move from 100 back to 80 is a decrease of 20%, not 25%. The absolute difference is the same, but the reference value is different.

Handle zero explicitly

If the original value is zero, the usual percentage-change formula cannot divide by it. Report the actual difference or choose a different meaningful comparison rather than using an infinite percentage.

Try the workflow

A change from 80 to 100 is a 25% increase because the difference, 20, is divided by the original value, 80.

Open percentage calculator