Percent vs. Percentage Points: Why a Rise from 4% to 5% Is a 25% Increase

October 21, 2026

A percentage point is the arithmetic difference between two percentages, while a percent change is the relative change compared with the starting value. When an interest rate rises from 4% to 5%, it increases by 1 percentage point, but by 25 percent (1 ÷ 4). Mixing them up is one of the most common errors in news reports and financial communication.

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The Two Calculations

Percentage point change = new percentage − old percentage: 5% − 4% = 1 point. Percent change = (new − old) ÷ old × 100: (5 − 4) ÷ 4 = 25%.

The same pair applies to declines. A drop in unemployment from 6% to 5% is 1 percentage point, or about a 16.7% relative decline.

FromToChange in percentage pointsPercent change
4%5%+1 point+25.0%
10%12%+2 points+20.0%
6%5%−1 point−16.7%
50%55%+5 points+10.0%
1%2%+1 point+100.0%

Why the Distinction Matters

A bank that says its savings rate rose by 25% sounds more generous than one that raised it by 1 percentage point, even though they are the same change. Politicians and advertisers choose whichever framing suits them. Medical statistics show the same effect: a treatment that reduces risk from 2% to 1% cuts the relative risk by 50%, but the absolute risk by only 1 percentage point.

Reporting both numbers gives a complete picture.

Writing It Clearly

Say 'percentage points' or 'pp' for differences between rates, and 'percent' for relative changes. For example: 'The rate rose from 4% to 5%, up 1 percentage point (a 25% increase).'

In polling, a lead of 3 points between candidates at 48% and 45% is a difference of 3 percentage points and a relative difference of about 6.7%. Margin-of-error statements are also in percentage points.

Frequently Asked Questions

What is a percentage point?

The unit for the arithmetic difference between two percentages.

Is a 1 point rise from 4% a 1% increase?

No. It is a 25% increase relative to 4%.

How do I calculate percent change?

Subtract the old value from the new value, divide by the old value, and multiply by 100.

Why do reports confuse the two?

Because the wording sounds similar and the relative number can make a small change look larger.