sumivo

Percentage Change Calculator

Compare a new value with the absolute magnitude of its original value.

01 / INPUTS

value
value

02 / RESULT

Percentage change

+25%

Summary

Percentage change
+25%
Absolute change
+25

Calculation trace

  1. 125 − 100 = 25
    +25
    Absolute change
  2. (25 ÷ |100|) × 100 = 25%
    +25%
    Percentage change
§

How it works

Percent change = (new − old) ÷ |old| × 100. A positive result is an increase and a negative result a decrease, measured against the magnitude of the original value.

Assumptions & limits

  • The base is the absolute value of the old value, so the result is defined even when the starting value is negative.
  • The old value cannot be zero (division by zero).
§

FAQ

Is a negative result a decrease?
Yes. A positive percent is an increase from the old value; a negative percent is a decrease.
§

Related calculators

§

SOURCES