PercentChangeFormula

Percentage Points vs. Percent

When both numbers are already percentages, there are two ways to describe the change. This shows both.

Percentage points = new % − old %  ·  Relative change = (new % − old %) ÷ old % × 100
%
%
+1 percentage point (+33.3333% relative)
  1. Percentage-point change = 4 − 3 = +1 percentage point
  2. Relative change = +1 ÷ 3 × 100 = +33.3333%
  3. In basis points: +100 bps

The difference, in one example

A savings rate rises from 3% to 4%. It went up by 1 percentage point, and it is also 33.33% higher than before (1 ÷ 3 × 100). Both statements are true; they answer different questions. Headlines that say “rates rose 1%” are ambiguous: they could mean either.

Examples

ChangePercentage pointsRelative changeBasis points
3% → 4%+1+33.333%+100
Interest rate 5.25% → 5.50%+0.25+4.762%+25

When to use which

  • Percentage points for the change in any rate or share: interest rates, unemployment, vote share, conversion rates, tax rates.
  • Relative percent change when the size of the change relative to its starting level matters, for example a conversion rate going from 2% to 3% is a 50% improvement in sales from the same traffic.
  • Basis points in finance, where changes are often a fraction of a point.

For changes in ordinary quantities (prices, counts, revenue), percentage points don’t apply: use the percent change calculator.

Frequently asked questions

What is a percentage point?

A percentage point is the simple arithmetic difference between two percentages. Going from 3% to 4% is a rise of 1 percentage point.

What is the difference between percent and percentage points?

Percentage points measure the absolute gap between two percentages. Percent measures the relative change. From 3% to 4% is +1 percentage point but a 33.33% relative increase.

What is a basis point?

One basis point is one hundredth of a percentage point (0.01%). An interest rate rising from 5.25% to 5.50% has risen by 25 basis points, or 0.25 percentage points.

Which one should I report?

Use percentage points for the change in a rate (interest rates, unemployment, vote share, conversion rates). Add the relative percent change only if it helps, and label it clearly.