The sentence that causes the confusion
“The central bank raised interest rates from 4% to 5% — a rise of 1%.” Is that 1 percentage point, or roughly a 25% increase? It is both, because “1%” is being used to describe a rate, and a rate can be measured two ways:
- the plain gap between the two rates — 1 percentage point;
- how much the rate grew relative to its old value —
1 / 4 =25%.
Percentage points: subtract one rate from the other
A percentage-point change is just the difference between two percentages, with nothing in the denominator:
points = new rate − old rate
From 20% to 25% is 25 − 20 = 5 percentage points. That is all “points” means: the raw distance between two rates on the 0–100 scale.
Percent change: the gap measured against the starting rate
A percent change puts that same gap over the old rate, the way any percentage change works:
percent change = (new − old) / old × 100
From 20% to 25% that is (25 − 20) / 20 × 100 = 25%. The rate itself is a quarter bigger than it was. The percentage point calculator shows both numbers for the same move:
Why one move has two numbers
The percentage-point gap is fixed, but what it means relative to the starting rate depends entirely on how big that rate was:
| Rate moves | Percentage points | Percent change |
|---|---|---|
| 20% → 25% | +5 pp | +25% |
| 4% → 5% | +1 pp | +25% |
| 50% → 55% | +5 pp | +10% |
| 2% → 3% | +1 pp | +50% |
How to read it in the wild
For rates, “percentage points” is the unambiguous phrasing and “%” is the trap:
- “Unemployment rose 2 points” is clear: it went from, say, 5% to 7%.
- “Unemployment rose 2%” could mean the same thing, or a 2% relative rise from 5% to 5.1%. You cannot tell.
- “Support jumped 40%” — check whether that is 40 points (30% → 70%) or a 40% relative rise (30% → 42%). Very different claims.
Where it actually bites
- Polls. A candidate with “a 3-point lead” is 3 percentage points ahead; “3% ahead” is looser wording for the same thing.
- Interest rates. A “0.25-point hike” (25 basis points) takes 4.00% to 4.25%.
- Conversion and click rates. 2% to 3% is only 1 percentage point, but a 50% relative improvement — and the 50% is the number worth celebrating.
- Tax and APR. A bracket moving from 22% to 24% is 2 percentage points, not “2% more tax.”
Common mix-ups
- Reporting a point move as “%”. “The rate went up 5%” when it went from 20% to 25% understates a +25% relative jump and misnames a +5-point one.
- Comparing relative changes off different base rates. A country going 1% → 2% and another going 40% → 41% both moved 1 point, but the first doubled and the second barely budged.
- Assuming +5 points then −5 points cancels — it does. Points add and subtract cleanly. But +25% then −25% does not return the original rate, for the same reason percent changes never do.
Frequently asked questions
Are '5%' and '5 percentage points' ever the same number?
Only when the starting rate is 100%. Then a 5-point rise to 105% is also a 5% relative rise. At any other starting rate the two differ.
A poll says a lead 'widened by 3%'. Points or percent?
Almost always 3 percentage points — for example a lead going from 4 points to 7 points. A true 3% relative change on a 4-point lead would be a widening of about 0.12 points, which is not news.
Why does the same +5 points look different at 20% versus 50%?
Percent change divides the 5-point gap by the starting rate. 5 / 20 is 25%; 5 / 50 is 10%. The gap is the same; what it is measured against is not.
What is a 'basis point'?
One hundredth of a percentage point. A 25-basis-point rate hike is 0.25 percentage points — for example 4.00% to 4.25%.