Percentage Change vs Percentage Points: The Difference Explained with Examples
Short answer
A percentage point is the simple difference between two percentages: going from 4% to 5% is a rise of 1 percentage point. A percentage change compares that difference with where you started: going from 4% to 5% is a 25% increase. Mixing them up is one of the most common ways numbers are misunderstood.
Percentages appear everywhere: interest rates, election polls, exam results, inflation, discounts and tax. Two phrases sound almost the same but mean very different things: “up 2 percent” and “up 2 percentage points”. This guide explains the difference with clear examples you can check in our free percentage calculator.
Percentage change: compared with the start
Percentage change tells you how big a change is relative to the original value. The formula is:
Percentage change = (new value − old value) ÷ old value × 100
If a shirt’s price rises from 40 to 50, the change is 10, and 10 ÷ 40 × 100 = 25% increase. If it falls from 50 back to 40, the change is −10, and −10 ÷ 50 × 100 = 20% decrease. Notice the asymmetry: a 25% rise followed by a 20% fall brings you back where you started, because each percentage uses a different starting value. Our guide on how to calculate percentage increase has more worked examples.
Percentage points: the simple gap
When the numbers you are comparing are already percentages, the plain difference between them is measured in percentage points (often written “pp” or “points”). If an interest rate rises from 4% to 5%, it has risen by 1 percentage point. As a percentage change, that is (5 − 4) ÷ 4 × 100 = 25%. Both statements are true, but they describe different things.
| Example | Change in percentage points | Percentage change |
|---|---|---|
| Interest rate 4% → 5% | +1 point | +25% |
| Unemployment 6% → 4.5% | −1.5 points | −25% |
| Exam pass rate 80% → 88% | +8 points | +10% |
| Poll support 30% → 33% | +3 points | +10% |
| Tax rate 20% → 25% | +5 points | +25% |
Why the difference matters
Interest rates: when a central bank raises rates from 1% to 2%, headlines might say rates “doubled” (a 100% increase) or “rose one point”. For a borrower, the point change tells you more directly how the cost changes: on a 100,000 loan, one point is roughly 1,000 more interest a year.
Health risks: if a medicine lowers the risk of an illness from 2% to 1%, the risk has fallen by 1 percentage point (the absolute risk reduction) or by 50% (the relative risk reduction). “Cuts risk by half” sounds dramatic; “1 in 100 fewer people get ill” is the same fact in plainer terms. Good health reporting gives both.
Polls and elections: a party moving from 30% to 33% has gained 3 points. Saying it gained “10%” is technically correct but easily misread as 30% → 40%.
Discounts: “an extra 10% off” the sale price is not the same as 10 more percentage points off the original price. A 30% discount followed by an extra 10% off is a total of 37% off, not 40%: 100 × 0.7 × 0.9 = 63. See how to calculate discount percentage.
Step by step: which one should I use?
- Are both numbers percentages? If yes, the plain difference is in percentage points.
- Do you want to show how big the change is relative to the start? Then also give the percentage change.
- Writing for others? Say “rose from 4% to 5%” and include both: “up 1 percentage point (a 25% increase)”. Readers can then judge for themselves.
Common mistakes to avoid
- Adding percentage changes: a 10% rise then a 10% rise is 21% in total, not 20%, because the second rise starts from a bigger number.
- Reversing a percentage: a 50% fall needs a 100% rise to get back to the start.
- Comparing percentages of different totals: 20% of a small group can be fewer people than 5% of a large one. Always ask “percent of what?”.
- Confusing percent and percentile: scoring in the 90th percentile means you did better than 90% of people, not that you scored 90%.
Percentages of percentages
Things get confusing when a percentage is applied to another percentage. If a savings account pays 5% interest and the bank says it will raise the rate “by 10%”, the new rate is 5.5%, not 15%. If it raises the rate “by 1 percentage point”, the new rate is 6%. Whenever you read a claim like this, rewrite it with the actual before and after numbers. That one habit removes almost all of the confusion.
Try it yourself
Open the percentage calculator and work out the percentage change from 4 to 5, then from 5 to 4. Then try finding 15% of 240 and what percentage 45 is of 180. If you need a refresher on the basics, read how to calculate a percentage of a number.
Statistical agencies such as the US Bureau of Labor Statistics use exactly this distinction when they report price indexes: the change in the index level is given in points, while the change relative to the earlier level is given as a percent.
Frequently asked questions
What is a percentage point?
The simple difference between two percentages. From 4% to 5% is a rise of one percentage point.
Is a 1 percentage point rise the same as 1%?
No. From 4% to 5% is 1 percentage point but a 25% increase.
How do I calculate percentage change?
Subtract the old value from the new value, divide by the old value and multiply by 100.
Why does a 50% drop need a 100% rise to recover?
Because the rise is measured from the smaller, lower value. Half of 100 is 50, and 50 must double to get back to 100.
