Arithmetic & Number Theory

Percentage Change

Relative change from old to new.

Formula

Formula
Δ% = xn − x0x0 · 100

Variables

SymbolDefinitionType & rangeUnitsRole
x₀ old value computed result result
xₙ new value computed result result
Δ% percent change computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenold value = 80, new value = 100
Result25
Example 2
Givenold value = 200, new value = 150
Result-25