Percentage Calculator
Published: 4 November 2026 · Updated: 4 November 2026
20% of 250 is 50, and a rise from 200 to 250 is +25%. This free percentage calculator answers all three percentage questions instantly — with the working shown, so you never mix the formulas up again.
Every percentage question is one of three formulas — and the number after “of” is the one you divide by. Pick your question type, enter two numbers, and the answer appears with its working. No sign-up, no app, no maths degree needed.
Researched by MixKhazana Team · Last updated 4 November 2026 · Data: Standard percentage formulas (per centum — per hundred)
How to use
- Pick the question you are asking: X% of Y, X is what % of Y, or percentage change.
- Enter your two numbers — the labels update to match the mode you picked.
- Click Calculate Percentage — the answer appears instantly, with the working shown.
- Use the Copy link button to share the exact calculation with anyone.
How it works
A percentage is simply a fraction out of 100 — the word comes from the Latin per centum, “per hundred.” Every percentage question is one of three formulas, and mixing them up is the only real mistake people make. “X% of Y” means (X ÷ 100) × Y: 20% of 250 is (20 ÷ 100) × 250 = 50. “X is what % of Y” means (X ÷ Y) × 100: 50 is (50 ÷ 250) × 100 = 20% of 250. Percentage change means ((new − old) ÷ old) × 100: moving from 200 to 250 is ((250 − 200) ÷ 200) × 100 = +25%. If you only remember one rule, remember this: the number after “of” is the one you divide by. That single habit kills nearly every percentage error, from sale prices to salary rises. For money growth over time, pair this with the compound interest calculator.
Worked examples
- 20% of $250 = $50. A $250 jacket at 20% off costs $250 − $50 = $200.
- 50 is 20% of 250. If you scored 50 out of 250 marks, that is a 20% score.
- 200 → 250 is a +25% increase. A salary rising from $200 to $250 a week grew by a quarter.
- 250 → 200 is a −20% decrease. Note the asymmetry: the same $50 move is +25% one way and −20% the other, because the starting number changed. This is the trick behind “up 50%, down 50%” not returning you to where you started.
Common percentages at a glance
| Percentage | Of 100 | Of 250 | Of 1,000 |
|---|---|---|---|
| 5% | 5 | 12.50 | 50 |
| 10% | 10 | 25 | 100 |
| 20% | 20 | 50 | 200 |
| 25% | 25 | 62.50 | 250 |
| 50% | 50 | 125 | 500 |
Answer block: the three percentage formulas
X% of Y = (X ÷ 100) × Y; X as a percentage of Y = (X ÷ Y) × 100; percentage change = ((new − old) ÷ old) × 100. Percentages above 100% are perfectly normal — 150% of 200 is 300 — and a percentage-point change is not the same as a percentage change: a rate rising from 20% to 25% rose by 5 percentage points, which is a 25% relative increase.
Frequently asked questions
What is 20% of 250?
20% of 250 is 50. The formula is (20 ÷ 100) × 250 = 50. Use the calculator above with mode “X% of Y” for any other pair of numbers.
How do I find what percentage one number is of another?
Divide the first number by the second and multiply by 100: (X ÷ Y) × 100. For example, 50 as a percentage of 250 is (50 ÷ 250) × 100 = 20%.
How do I calculate percentage increase?
Subtract the old value from the new value, divide by the old value, and multiply by 100: ((new − old) ÷ old) × 100. From 200 to 250 that is (50 ÷ 200) × 100 = +25%.
Why is a 50% rise followed by a 50% fall not back to zero?
Because the base changes. $100 up 50% becomes $150; down 50% from $150 is $75, not $100. Percentage changes always measure from the current starting value, so equal percentages in opposite directions do not cancel.
What is the difference between percent and percentage points?
A percentage point is the arithmetic difference between two percentages. If a rate rises from 20% to 25%, that is +5 percentage points — but a 25% relative increase (5 ÷ 20 × 100). News reports about interest rates and polls use percentage points for exactly this reason.
Can a percentage be more than 100%?
Yes. 150% of 200 is 300 — percentages above 100% simply mean more than the whole. You meet them in growth figures (“sales grew 150%”) and in comparisons (“twice as much” is 200% of the original).
How do I work out a sale price with a percentage discount?
Find the discount amount (percentage ÷ 100 × price) and subtract it from the price. A $250 item at 20% off loses $50 and costs $200. Or multiply directly: $250 × (1 − 0.20) = $200.