Percentage Points vs Percent: What's the Difference?
A rate rising from 6% to 6.5% is up 0.5 percentage points but 8.33 percent. Learn when to use each term, with worked examples and a free calculator.
The short answer
A percentage point is the simple difference between two percentages. A percent change compares that difference with the starting value. If an interest rate goes from 6% to 6.5%, it rose by 0.5 percentage points, which is an increase of 8.33 percent. Both statements are true; they answer different questions. The "% change from X to Y" mode in the Percentage Calculator gives the percent figure.
Mixing the two up is one of the most common errors in news reports, school results and financial messages, and it can make a change look much bigger or smaller than it is.
The two calculations side by side
Suppose a quantity is measured as a percentage at two points in time: an old rate and a new rate.
- Percentage point change = new rate − old rate
- Percent change = (new rate − old rate) ÷ old rate × 100
Worked examples:
| Old rate | New rate | Change in percentage points | Percent change |
|---|---|---|---|
| 6% | 6.5% | +0.5 | +8.33% |
| 40% | 50% | +10 | +25% |
| 20% | 25% | +5 | +25% |
| 6.5% | 6.25% | −0.25 | −3.85% |
| 5% | 4% | −1 | −20% |
Notice that 40% to 50% and 20% to 25% are both 25% increases, yet one is a 10-point jump and the other only 5 points. The percent change depends on where you started; the percentage-point change does not.
How to calculate it with the Percentage Calculator
40) and the new percentage as the To value (50). Type the numbers only, without the % sign.The calculator shows the percent change rounded to two decimal places. A negative result means a decrease.
Where each term belongs
Interest rates and loans
Central bank and loan rate changes are usually described in percentage points or basis points. A basis point is one hundredth of a percentage point, so 25 basis points equal 0.25 percentage points.
If a home loan rate drops from 8.50% to 8.25%, it is correct to say "the rate fell by 0.25 percentage points" or "by 25 basis points". Saying "the rate fell by 0.25%" is ambiguous: strictly, a 0.25% fall from 8.50% would be to about 8.479%.
What matters for your budget is the effect on the payment, which you can check with an EMI or mortgage calculator rather than with the percentage change itself.
Exam results and pass rates
If a school's pass rate rises from 80% to 88%, that is an 8 percentage point rise and a 10% increase. A headline saying "pass rate up 10%" is not wrong, but readers often assume it means 80% to 90%.
For an individual student, "my score went from 60% to 75%" is a 15-point improvement and a 25% improvement on the earlier score. Use points when comparing with a cut-off, because cut-offs are themselves percentages.
Tax and GST rates
When a tax rate changes from 12% to 18%, the rate rose by 6 percentage points. The tax itself rises by 50%, because 18 is 1.5 times 12. On a ₹1,000 item, the tax goes from ₹120 to ₹180.
Election and survey results
A party moving from 30% to 33% of the vote gained 3 percentage points, which is a 10% increase in its vote share. Polls usually report changes in points, and a margin of error is also given in points.
Why the difference matters
Small bases exaggerate percent changes. A side effect that affects 1 in 1,000 people (0.1%) and rises to 2 in 1,000 (0.2%) has "doubled", a 100% increase. The absolute change is only 0.1 percentage points. Both facts are useful, but reporting only the 100% figure can make a small risk sound alarming.
Large bases hide them. A rate going from 50% to 55% is only a 10% increase, though 5 points may be a big move for that measure.
A clear report gives both, for example: "The default rate rose from 2.0% to 2.5%, up 0.5 percentage points (a 25% increase)."
Common mistakes
- Adding a percentage to a percentage. "Inflation of 5% rising by 10%" should mean 5.5%, not 15%. If the writer means 15%, they should say "rising by 10 percentage points".
- Subtracting percentages and calling the result percent. 50% − 40% = 10 percentage points, not 10%.
- Using the wrong starting value. Percent change always divides by the old value. From 50% back down to 40% is a 20% decrease, not 25%.
- Calculating percent change from zero. If the old value is 0%, percent change cannot be calculated, because you would be dividing by zero. Report the change in points instead.
Quick reference
| You want to say | Use |
|---|---|
| How far a rate moved | Percentage points |
| A small move in an interest rate | Basis points |
| How big the move was relative to where it started | Percent change |
| A change in an amount of money or people | Percent change |
If you also need to work out a share or add a percentage, the percentage formulas guide covers the five everyday calculations.
Summary
Percentage points measure the gap between two percentages by subtraction. Percent change measures that gap relative to the starting value. From 6% to 6.5% is 0.5 points and 8.33%. When a number you read could be either, check what the starting value was and recalculate it yourself.
Frequently asked questions
What is a percentage point?
A percentage point is the plain difference between two percentages. Going from 40% to 50% is a rise of 10 percentage points, because 50 − 40 = 10.
Is a 10 percentage point increase the same as a 10% increase?
No. From 40% to 50% is 10 percentage points but a 25% increase, because 10 is 25% of the starting value of 40.
What is a basis point?
A basis point is one hundredth of a percentage point. A rate change from 6.50% to 6.25% is a cut of 25 basis points, or 0.25 percentage points.
How do I calculate percent change between two percentages?
Subtract the old percentage from the new one, divide by the old one and multiply by 100. From 6% to 6.5%: (6.5 − 6) ÷ 6 × 100 = 8.33%.
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