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Percentages

Percentage change

Difference over the starting value, scaled to a percentage. The original is always the divisor.

The Formula

% Change = (New - Original) / Original x 100

Difference over the starting value, scaled to a percentage. The original is always the divisor.

SymbolMeaning
VnNew value
V0Original value
%DeltaPercentage change

What Each Symbol Means

Vnnumber

New value

The value after the change has happened.

V0number

Original value

The reference point. Cannot be zero, and results read inverted if it is negative.

%Deltapercent

Percentage change

Positive for growth, negative for decline.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate percentage change page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Percentage Change, filed under Math. Every number the guide produces comes from substituting into this one line.