Percentage Point Calculator
Enter two percentages to find the difference in percentage points, with the relative change.
Updated
Percentage Point Calculator
Our Percentage Point Calculator finds the difference between two percentages in percentage points, such as an interest rate moving from 25% to 32%. It also shows the relative change in percent, the difference in basis points and the direction, so you can see why "up 7 points" and "up 28%" describe the same move.
Quick answer
A percentage point difference is the new percentage minus the old one: 32% − 25% = 7 percentage points.
- Relative change: 7 ÷ 25 × 100 = 28%, a different number
- Example: a rate from 4% to 5% is up 1 point, but up 25%
- Basis points: 1 percentage point = 100 bps
- Short form: percentage points are written pp or "points"
What Is a Percentage Point?
A percentage point is the unit for the plain difference between two percentages. If unemployment goes from 5% to 6%, it rose by 1 percentage point:
Saying it "rose by 1%" would be wrong, because 1% of 5% is only 0.05%. Percentage points avoid that confusion.
How to Calculate Percentage Points
- Write down both percentages, such as 25% and 32%.
- Subtract the initial from the final. 32 − 25 = 7.
- Label the answer as percentage points: +7 pp. A negative answer is a fall.
There is no division and no multiplying by 100; the values are already percentages.
Percentage Points vs Percent Change
The same move can be described two ways. From 4% to 5%:
percent: 1 ÷ 4 × 100 = +25%
Both are correct, but they answer different questions. Points say how far the rate moved; percent change says how big that move is compared with where it started. The Relative Change Calculator and the Percentage Increase Calculator work out percent change for any values.
Percentage Point Examples
| From → to | Points | Percent |
|---|---|---|
| 25% → 32% | +7 pp | +28% |
| 4% → 5% | +1 pp | +25% |
| 10% → 15% | +5 pp | +50% |
| 50% → 52% | +2 pp | +4% |
| 40% → 30% | −10 pp | −25% |
| 3.5% → 3.25% | −0.25 pp | ≈ −7.14% |
The smaller the starting percentage, the bigger the percent change for the same number of points.
Basis Points
For small changes in interest rates and yields, finance uses basis points (bps), where 100 basis points make 1 percentage point:
0.25 pp = 25 bps
A central bank raising its rate from 5.25% to 5.5% is a rise of 0.25 pp, or 25 basis points. The calculator shows basis points for every answer.
Where Percentage Points Are Used
- Interest rates. A mortgage rate moving from 6% to 6.5% is up 0.5 pp.
- Elections and polls. A party going from 38% to 42% gained 4 points.
- Economics. Unemployment, inflation and tax rates are compared in points.
- Business. A profit margin from 12% to 15% improved by 3 pp, which is +25%.
Common Mistakes
- Calling points percent. 4% to 5% is up 1 pp, not up 1%.
- Dividing by 100. The difference of 32% and 25% is 7 pp, not 0.07.
- Adding a % sign to points. "+7%" means a relative change; write "+7 pp".
- Comparing points across bases. +2 pp from 2% doubles it; from 50% it is a small change.
Key Terms
- Point (pp)
- The plain difference of two percentages.
- Percent
- Per hundred; part of a whole.
- Relative
- The change divided by the start, in percent.
- Basis point
- One hundredth of a percentage point.
How to Use the Percentage Point Calculator
- Enter the initial percentage. Type the starting percentage, such as 25. A typed % sign is ignored, and decimals such as 3.5 work.
- Enter the final percentage. Type the new percentage, such as 32.
- Read and copy the difference. The difference in percentage points appears as you type, with the working, the relative change in percent, the basis points and the direction. Press Copy to copy it, or Clear or Esc to start again.
Example: a savings rate rises from 5.25% to 5.5%. Enter 5.25 and 5.5. The difference is 0.25 pp, with a relative change of about +4.76%, +25 basis points and the direction "Increase".
Who Can Use This Calculator?
Frequently Asked Questions (FAQs)
How do you calculate percentage points?
Subtract the initial percentage from the final percentage. From 25% to 32%: 32 − 25 = 7 percentage points.
What is the difference between a percentage point and a percent?
A percentage point is the plain difference between two percentages. A percent change compares that difference with the starting value. From 4% to 5% is up 1 percentage point, which is a 25% increase.
Is 4% to 5% a 1% increase?
No. It is a 1 percentage point increase, and a 25% relative increase, because 1 ÷ 4 = 0.25.
How do you convert percentage points to percent change?
Divide the points by the starting percentage and multiply by 100. +7 pp from 25% is 7 ÷ 25 × 100 = +28%.
How many basis points are in a percentage point?
100. One basis point is 0.01 percentage points, so a 0.25 pp rate rise is 25 basis points.
How do you write percentage points?
Write "percentage points", "points" or the short form pp, such as +7 pp. Avoid writing "+7%" for a difference of two percentages.
Can a percentage point difference be negative?
Yes. A fall gives a negative difference: from 40% to 30% is −10 pp.
Why do news reports use percentage points?
Because "up 1%" is ambiguous for rates. If unemployment goes from 5% to 6%, "up 1 point" is clear, while "up 1%" could wrongly suggest 5.05%.
What is 3.5% to 3.25% in percentage points?
It is −0.25 pp, or −25 basis points, a relative fall of about 7.14%.
Is the Percentage Point Calculator free?
Yes. It is completely free, needs no sign-up, and can be used as many times as you like.
Try our Percentage Point Calculator to find the difference between two percentages, with the relative change and basis points.