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Percentage Calculator

Find a percentage of a number, work out what percent one number is of another, or calculate percentage change — instantly.

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How to Use Percentage Calculator

Pick the calculation you need from the three tabs above: "X% of Y" for a straight percentage of an amount, "X is what % of Y" to express one number as a percentage of another, or "% Change" to measure the increase or decrease between two values. Type into either field and the result updates as you type — there is no calculate button and nothing is sent to a server.

About Percentage Calculator

A percentage is simply a fraction out of 100 — "25%" means 25 out of every 100, or 0.25 as a decimal. It is one of the most-used pieces of arithmetic in everyday life: working out a restaurant tip, comparing a sale discount, checking how much a payslip changed year over year, or figuring out what share of a project is finished. This calculator covers the three questions people actually ask about percentages. The first, "what is X% of Y", answers things like "what is 15% of 80?" by multiplying Y by X/100. The second, "X is what percent of Y", flips the question around — if you scored 42 out of 60 on a test, you divide 42 by 60 and multiply by 100 to get the percentage. The third, percentage change, measures how much a value has moved relative to its starting point: (new − old) ÷ |old| × 100. This is the calculation behind phrases like "prices rose 8%" or "traffic dropped 12% this month", and it is signed — a positive result means growth, a negative result means decline. A common source of confusion is mixing up percentage change with percentage points. If a discount rate moves from 10% to 15%, that is a 5 percentage point increase, but a 50% relative increase in the discount itself — this tool calculates the latter (relative change), which is what "percentage change" conventionally means in finance, retail and analytics. Mixing the two up is one of the most common statistical errors in news reporting and marketing copy, so it is worth keeping the distinction straight: percentage points subtract two percentages directly, percentage change divides the difference by the starting value. Percentages also compound in ways that trip people up. Applying a 50% discount and then a 20% discount does not give you 70% off — it gives you 60% off, because the second discount applies to the already-reduced price (100% × 0.5 × 0.8 = 40% of the original remains, i.e. 60% off). The same logic applies in reverse to sequential percentage increases: two consecutive 10% raises compound to a 21% total increase, not 20%, because the second 10% is calculated on the new, larger amount. This calculator handles single-step percentage questions instantly; for compounding sequences like these, work through each step in turn using the "X% of Y" tab, feeding each result back in as the next Y. Because everything runs in your browser, results appear the moment you stop typing, there is no page reload, and no data about the numbers you enter ever leaves your device. That is a deliberate design choice across every calculator in this Math category, not just this one — the numbers people plug into a percentage calculator are often real financial or personal figures, and there is no reason any of that needs to touch a server to produce an answer.

Details & Tips

Formulas used by each mode: • X% of Y → (X ÷ 100) × Y • X is what % of Y → (X ÷ Y) × 100 • % Change from X to Y → ((Y − X) ÷ |X|) × 100 Worked examples: • What is 20% of 200? → (20 ÷ 100) × 200 = 40. • 30 is what percent of 150? → (30 ÷ 150) × 100 = 20%. • Price moved from 80 to 100 → ((100 − 80) ÷ 80) × 100 = +25%. • A $60 item marked down to $45 → ((45 − 60) ÷ 60) × 100 = −25%, a 25% decrease. Edge cases handled automatically: dividing by a zero "of" value in mode two, or a zero starting value in mode three, has no defined percentage — the tool shows "—" instead of an error or an infinite number. Extremely large inputs that exceed what a browser can represent precisely are shown as "Too large" rather than a misleading rounded figure. Negative numbers work in every mode, so you can calculate percentage change on values that went from positive to negative (e.g. a profit that became a loss, or a temperature that crossed zero). Decimal percentages (e.g. 2.5%) and decimal amounts both work exactly as typed, with results shown to up to 6 decimal places and trailing zeros trimmed, so a clean whole-number answer displays as "40" rather than "40.000000". Tip: to quickly reverse-engineer an original price from a percentage increase (e.g. "this is $120 after a 20% increase, what was the original price?"), divide 120 by 1.20 rather than using mode one directly, since mode one goes the other direction (original × percentage → result, not result → original). The same reversal trick works for discounts: to find a pre-discount price from a sale price and discount percentage, divide the sale price by (1 − discount/100). A second practical tip: when comparing percentage changes across two different base values (for example, two products with different starting prices), always look at both the percentage change and the underlying dollar amounts before drawing conclusions — a 50% increase on a $10 item is a $5 change, while a 5% increase on a $1,000 item is a $50 change, and the smaller percentage can represent the larger real-world shift.

Frequently Asked Questions

How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply by the number. For example, 15% of 80 is (15 ÷ 100) × 80 = 12. Use the "X% of Y" tab and this is calculated for you automatically as you type.
How do I find what percentage one number is of another?
Divide the first number by the second, then multiply by 100. For example, 18 out of 40 is (18 ÷ 40) × 100 = 45%. Use the "X is what % of Y" tab for this.
How is percentage change calculated?
Percentage change is ((new value − old value) ÷ |old value|) × 100. A positive result means an increase, a negative result means a decrease. This tool computes it automatically in the "% Change" tab.
What is the difference between percentage change and percentage points?
Percentage change is a relative measure (e.g. going from 10% to 15% is a 50% relative increase), while percentage points measure the absolute difference (a 5 percentage point increase). This calculator reports relative percentage change.
Why does the result show "—" instead of a number?
This appears when the calculation is mathematically undefined — for example, asking what percentage a number is of zero, or the percentage change starting from zero. Division by zero has no meaningful percentage result.
Can I use negative numbers?
Yes. All three modes accept negative numbers, which is useful for calculating percentage change when a value crosses from positive to negative (e.g. profit turning into a loss).
Does this calculator round the result?
Results are shown with up to 6 decimal places, with trailing zeros removed, so you see the precise value rather than an overly rounded one. Round further yourself if you only need whole numbers.
How do I calculate a percentage increase or decrease?
Use the "% Change" tab: enter the original value in "From" and the new value in "To". The result already includes the sign — positive for an increase, negative for a decrease.
Is my data sent to a server when I use this calculator?
No. All calculations run directly in your browser using JavaScript — nothing you type is transmitted, logged, or stored anywhere.
How do I reverse a percentage increase to find the original value?
Divide the final value by (1 + percentage/100). For example, if $120 is the result of a 20% increase, the original value is 120 ÷ 1.20 = $100.
What is 50% of 50%?
Multiplying two percentages means converting both to decimals first: 0.5 × 0.5 = 0.25, or 25%. This differs from adding them (which would give 100%) — percentages of percentages multiply, they do not add.

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percent calculator, % calculator, percentage of a number, percentage change calculator, percentage increase calculator, percentage decrease calculator

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