What this calculator does
Percentage points and percentage change are two different ways of describing the same move between two percentages, and they are routinely mixed up. If an interest rate goes from 40% to 30%, that is a fall of 10 percentage points, a plain subtraction. But expressed relative to the starting value, it is a 25% decrease, since 10 is a quarter of 40.
Both figures are correct, they just answer different questions. Percentage points measure the absolute gap between two percentages; percentage change measures that same gap relative to where it started. Mixing them up, or quoting one when the other is meant, is one of the more common errors in reporting on rates, surveys and interest changes.
The formula
The percentage point difference is simply the second percentage minus the first. The percentage change divides that same difference by the starting percentage and multiplies by 100, so it is expressed relative to where the value began rather than as a flat gap.
| Term | Meaning |
|---|---|
| Percentage point (pp) | The plain arithmetic difference between two percentages: To% minus From%. |
| Percentage change | That same difference expressed relative to the starting percentage: (To − From) ÷ From × 100. |
| From / To | The starting and ending percentages being compared. |
The inputs explained
| Field | What to enter |
|---|---|
| From (%) | The starting percentage, before the change. |
| To (%) | The ending percentage, after the change. |
When to use it
Reading interest rate or inflation changes
News reports on rate changes often state a move in percentage points, such as a rate rising from 3% to 4%: that is 1 percentage point, but a 33% percentage increase relative to the starting 3%.
Comparing survey or poll results
A poll moving from 45% to 50% support has gained 5 percentage points, which is a smaller-sounding but more directly comparable figure than the roughly 11% relative increase.
Checking a claim before repeating it
When a percentage figure is quoted as having "increased by X%", checking whether X is a percentage point difference or a percentage change avoids restating the claim incorrectly.
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
Percentage point difference versus percentage change, from a 40% starting point
The same starting percentage of 40%, moving to a range of ending percentages.
| Ending percentage | Percentage point difference | Percentage change |
|---|---|---|
| 20% | -20.00 pp | -50.00% |
| 30% | -10.00 pp | -25.00% |
| 35% | -5.00 pp | -12.50% |
| 45% | +5.00 pp | +12.50% |
| 50% | +10.00 pp | +25.00% |
| 60% | +20.00 pp | +50.00% |
Reaching the same 50% target from different starting points
A fixed ending percentage of 50%, starting from a range of different values.
| Starting percentage | Percentage point difference | Percentage change |
|---|---|---|
| 5% | +45.00 pp | +900.00% |
| 10% | +40.00 pp | +400.00% |
| 20% | +30.00 pp | +150.00% |
| 25% | +25.00 pp | +100.00% |
| 40% | +10.00 pp | +25.00% |
| 45% | +5.00 pp | +11.11% |
Questions
What is the difference between a percentage point and a percentage change?
A percentage point is the plain subtraction between two percentages. A percentage change expresses that same gap relative to the starting percentage, so it depends on where you started, not just how far you moved.
If a rate goes from 5% to 10%, is that a 5% increase or a 100% increase?
Neither figure alone is wrong, but they answer different questions. It is a 5 percentage point increase, and separately a 100% percentage increase, since the rate doubled relative to its starting value.
Why do percentage points matter for interest rates?
Central bank rate changes are almost always reported in percentage points, since the absolute gap is what directly affects borrowing costs, while the relative percentage change can sound misleadingly large or small depending on the starting rate.
Can the percentage point difference be negative?
Yes. A negative result means the percentage fell rather than rose, and this calculator labels the direction as an increase or decrease accordingly.
For the symmetric difference between two plain numbers rather than two percentages, see the Percentage Difference Calculator. For a straightforward percentage increase on a value, use the Percentage Increase Calculator.