“The Fed raised rates by 1%” — if you’ve read that headline and then seen “rates went from 2% to 3%,” you may have noticed something odd: 2 to 3 is a 50% jump, not a 1% one. That’s because the headline and the math are using two different units: percentage points and percent. Mixing them up isn’t a grammar quibble — it can genuinely mislead you about loans, savings, and polls.
The Difference in One Sentence
A percentage point is the absolute difference between two percentages. A percent change is the relative difference — how much the original value grew or shrank. Going from 2% to 3% is an increase of 1 percentage point, which equals a 50% increase relative to where you started.
A Concrete Example
Say your savings account pays 2% interest and the bank raises it to 3%. Your rate went up by 1 percentage point. But your interest income just went up by 50% — you’ll earn half again as much as before. Both statements are true; they’re just measuring different things. “The rate rose by 1 percentage point” is precise. “The rate rose by 1%” is ambiguous at best and wrong at worst.
Why the Confusion Is Dangerous
- Loans: A credit card going from 18% to 21% APR is “3 points” — but a 16.7% jump in your interest cost.
- Polls: Approval rising from 40% to 44% is 4 points, often reported as “up 10%” (4 ÷ 40). Both are defensible; only one is usually stated.
- Tax brackets: A bracket moving from 22% to 24% is 2 points — and a 9% increase in that bracket’s rate.
- Investment returns: A fund beating its benchmark by 2 points vs. 2 percent are very different claims.
How to Convert Between Them
Two formulas cover almost every case:
- Percentage points = new value − old value (e.g., 3% − 2% = 1 point).
- Percent change = (new value − old value) ÷ old value × 100 (e.g., (3−2) ÷ 2 × 100 = 50%).
Quick Reference Table
| From | To | Percentage Points | Percent Change |
|---|---|---|---|
| 2% | 3% | +1 | +50% |
| 5% | 6% | +1 | +20% |
| 10% | 15% | +5 | +50% |
| 40% | 44% | +4 | +10% |
| 50% | 25% | −25 | −50% |
Notice the pattern: the same 1-point move can be a 50% change or a 5% change depending on the starting value. That’s why headlines should always say “points” when they mean points.
Do the Math Instantly
If you need to compute a percentage increase, decrease, or find what percentage one number is of another, the free Percentage Calculator does it in one click — including the percent-change calculation that trips up most people.

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