Math & Percentage

Percentage Change Calculator

Calculate the percentage change, increase or decrease, between two numbers with step-by-step formulas.

Math

Percentage Change Calculator

Determine the relative change from an initial value to a final value.

Percentage Change
+50%
Direction Increase
Absolute Difference (Δ) 25
Change Multiplier 1.5x
Calculation Steps
((75 - 50) / |50|) × 100 = (25 / 50) × 100 = 50%

Percentage Change Calculator Guide

The percentage change expresses the degree of change between an initial value and a final value as a percentage of the initial value.

Mathematical Formula

Percentage Change (%) = [(V₂ - V₁) / |V₁|] × 100%

Where:

  • V₁ is the initial (starting) value.
  • V₂ is the final (new) value.
  • |V₁| is the absolute value of the initial number.

Interpreting the Result

  • Positive result (> 0): A percentage increase (growth).
  • Negative result (< 0): A percentage decrease (decline).
  • Zero (= 0): No change.