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Percentage calculator

Solve all three percentage questions in one place — X% of Y, X as a percent of Y, and percent change — instantly, with the sentence spelled out.

Result

30

15% of 200 is 30.

Calculations run in your browser — nothing you enter is sent or stored.

Maintained by ToolsNexus

Three percentage questions cover almost every everyday situation: what is 15% of 200, 45 is what percent of 150, and what is the percent change from 80 to 100. This calculator answers all three — pick a mode, type two numbers, and the result appears as you type, with the full sentence spelled out so you can sanity-check it. It’s free, needs no signup, and the URL updates as you go, so you can share a link that reopens with your exact numbers.

How to use

  1. Pick the mode that matches your question using the three buttons.
  2. Type your two numbers — decimals and negative values are fine.
  3. Read the result below; it recalculates as you type, rounded to two decimal places.
  4. Copy the address-bar URL if you want to share or save the calculation — it reopens with your mode and numbers already filled in.

Tips, discounts, and score changes

The “What is X% of Y?” mode is the workhorse: an 18% tip on a $64 bill (X = 18, Y = 64 → $11.52), a 30% discount on a $250 jacket ($75 off, so $175 to pay), or the 6.5% sales tax on a purchase. The “X is what % of Y?” mode runs the other direction — 42 correct answers out of 60 questions is 70%, and $840 spent from a $1,200 budget is 70% used. The percent change mode compares before and after: a stock that moves from $80 to $100 gained 25%, a rent increase from $1,500 to $1,650 is +10%, and a test score that drops from 90 to 81 fell 10%. If you’re tracking a change over a specific period, our date difference calculator tells you exactly how many days that period covers.

The mistake percent change punishes

Percent change is always relative to the starting value, and that trips people up in both directions. A 50% loss needs a 100% gain to recover, because the base shrank. A price that rises 10% and then falls 10% ends below where it started (100 → 110 → 99). And comparing two percentages — say a conversion rate going from 2% to 3% — is a +50% change but only one percentage point. When a headline says something “doubled”, check the base: from the change mode here, doubling is always exactly +100%, no matter the numbers. If the starting value is zero, no percentage exists at all — the calculator says so rather than inventing one.

Limits

  • Results display rounded to two decimal places; the underlying math is full floating-point precision, so chained rounding errors don’t accumulate inside a single calculation.
  • Percent change from a starting value of zero is undefined and shows a message instead of a number, as does “X is what % of 0”.
  • This tool works on plain numbers — it doesn’t add currency-specific rounding rules, so for multi-step money calculations round only at the end.
  • Extremely large inputs are capped at one trillion to keep results readable.

Everything runs client-side: the numbers you type are never sent or stored. Explore the rest of our calculators for the same instant, private experience — the age calculator turns a birth date into an exact age the same way — or browse the file tools that process PDFs and images without uploading them.

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Frequently asked questions

How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply by the number: 15% of 200 is 15 ÷ 100 × 200 = 30. The first mode of this calculator does exactly that — type the percentage and the number, and the result appears instantly.
How do I work out what percent one number is of another?
Divide the first number by the second and multiply by 100: 45 out of 150 is 45 ÷ 150 × 100 = 30%. Use the second mode ("X is what % of Y?") — it is the one you want for test scores, survey results, and progress toward a goal.
Why is the change from 80 to 100 not the same as from 100 to 80?
Percent change is always measured against the starting value. Going from 80 to 100 is +20 on a base of 80, so +25%. Going from 100 to 80 is −20 on a base of 100, so −20%. That asymmetry is why a 25% gain is wiped out by only a 20% loss.
What is the difference between percent change and percentage points?
If an interest rate moves from 4% to 5%, it rose one percentage point — but the percent change is +25%, because 1 is a quarter of 4. News headlines often mix these up; this calculator gives you the percent change, so quote "points" separately when comparing two percentages.
Why can't I calculate a percent change starting from zero?
Percent change divides by the starting value, and division by zero is undefined — there is no meaningful percentage that turns 0 into 50. The calculator tells you this instead of showing a misleading number like "infinity percent".

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