Percentage Points Calculator

How it works

A percentage point is the arithmetic difference between two percentage values. If a tax rate rises from 20% to 25%, it has increased by 5 percentage points. This is different from saying it increased by 25%, which would be the relative percentage change.

The formula

Why this works: Percentage points measure the raw arithmetic gap between two percentages on the same scale. The relative change tells you how large that gap is compared to the starting value. A 1 pp increase from 2% represents a 50% relative increase, while a 1 pp increase from 80% represents only a 1.25% relative increase.

Worked examples

When to use this

The distinction between percentage points and relative percentage change matters in finance, politics, and data reporting:

• Interest rates: When the Bank of England cuts the base rate from 5.25% to 4.75%, financial news reports the move as a "0.5 percentage point cut". The relative fall of 9.5% is a secondary figure. For a £200,000 repayment mortgage, a 0.5 pp rate cut reduces the monthly payment by roughly £50, making the pp figure the practically useful one.
• Election results: A party gains 7 percentage points of vote share, from 32% to 39%. Reporting this as a "21.9% relative increase" would be technically correct but misleading to most readers. "Percentage points" is the standard language in UK political reporting precisely to avoid this confusion.
• Inflation data: ONS reports CPI falling from 4.2% to 2.8%, a 1.4 pp fall. Economists also track the relative change (33.3% fall in the rate) to understand how quickly inflation is cooling. Knowing which figure a news article is citing helps you interpret the headline correctly.
• Business KPIs: A sales team's conversion rate improves from 8% to 9.5%, a 1.5 pp gain. The relative improvement is 18.75%, which sounds more dramatic. Both are valid, but the pp figure is more intuitive for setting and tracking incremental targets on a weekly or monthly basis.

Understanding the result

The percentage point figure tells you the size of the gap on the number line between two rates. It is always the simple arithmetic difference and requires no reference to either starting value. The relative change figure tells you how significant that gap is in proportion to where you started.

These two numbers can paint very different pictures of the same change. A 1 pp rise in a conversion rate from 2% to 3% is modest in absolute terms but represents a 50% relative improvement in performance. A 1 pp rise in a satisfaction score from 88% to 89% represents only a 1.1% relative improvement. Context determines which figure is more useful, which is why news reports, company accounts, and academic papers all use different conventions.

Percentage points vs percentage change

These two measures are frequently confused in news reporting and financial communication. A percentage point change is always the simple arithmetic difference between two percentage values. A percentage change expresses how large that difference is relative to the starting value.

For example: an interest rate rising from 10% to 15% is a 5 percentage point increase, but a 50% relative increase in the rate itself. Both statements are correct, but they sound entirely different.

Read the full guide to percentage vs percentage points for worked examples covering interest rates, election results, and Bank of England base rate changes.

Related concepts

➡ When you need the relative rate of change rather than the arithmetic gap, the percentage change calculator expresses the movement as a proportion of the starting value. ➡ When neither value is a clear starting point and you want a symmetric comparison, the percentage difference calculator treats both values equally without designating a reference. ➡ To summarise a set of percentage readings over time, the average percentage calculator finds the central tendency across multiple values.

How to do this in Excel

Put the first percentage in A1 and the second in B1. This formula gives the percentage point difference. For the relative percentage change, use =(B1-A1)/A1*100 in an adjacent cell. Format both result cells as numbers with one or two decimal places to keep the output readable.

How to do this without a calculator

Subtract the first percentage from the second to find the percentage point difference. For 4.2% to 3.8%: 3.8 - 4.2 = -0.4 pp. For the relative change, divide the pp difference by the starting value and multiply by 100. For the same example: 0.4 / 4.2 = 0.095, times 100 = 9.5%. For round starting values, mental arithmetic is straightforward. For awkward decimals, the calculator above handles the precision.

Common mistakes

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