Percentage Calculator
This percentage calculator handles three types of problems — the ones that come up in real life, every day.
What is X% of Y?
Result
X is what % of Y?
Result
Percentage Change
Result
Common Percentage Formulas
The Core Formula
P × V1 = V2
Where P is the percentage (as a decimal), V1 is the starting value, and V2 is the result. Example: 0.25 × 200 = 50. Rearrange to solve for any variable. This is the equation every percentage calculator is built on.
| Formula | Example | Use Case |
|---|---|---|
| X% of Y | 25% of 200 = 50 | Find a portion of a value |
| X / Y × 100 | 50 / 200 × 100 = 25% | What percent is X of Y |
| (B−A) / A × 100 | (100−80) / 80 × 100 = +25% | Percentage change |
| |V1−V2| / ((V1+V2)/2) × 100 | |10−6| / ((10+6)/2) = 50% | Difference between two values (no direction) |
| X × (1 + P/100) | 200 × 1.25 = 250 | Increase by percentage |
| X × (1 − P/100) | 200 × 0.75 = 150 | Decrease by percentage |
Examples & Explanations
Related Math Tools
Why Use This Percentage Calculator?
- Three calculation modes
- Instant live results
- Step-by-step explanation
- Works on mobile
- Always free, no ads
What People Use a Percentage Calculator For
Shopping & Discounts
That "30% off" tag isn't always what it seems. If an item is $80 and marked 30% off, you save $24 — not $30. And if there's an additional "10% off sale prices," you're not saving 40% total, you're saving 37%. Stacked discounts multiply, they don't add.
Finance & Investing
A good percentage calculator saves you from mental math errors that cost real money. Interest rates, returns, and fees are all expressed as percentages. A savings account at 4.5% APY on $10,000 earns $450 a year. But a fund with a 1% annual fee on $100,000 costs you $1,000 — every year, even in bad years. Percentage thinking is essential for comparing financial products.
Work & Salary
A 5% raise sounds great — until you calculate it. On a $60,000 salary, that's $3,000 more per year, or about $115 extra per biweekly paycheck before taxes. Knowing the actual dollar amount helps you evaluate whether to negotiate harder.
Common Percentage Mistakes
Even with a percentage calculator, it helps to know where people typically go wrong.
Percentage vs. Percentage Points
If interest rates go from 2% to 3%, that's a 1 percentage point increase — but a 50% relative increase. These mean very different things. Politicians and advertisers often exploit this confusion.
Applying % to the Wrong Base
"20% off, then 20% more off" is not 40% off. The second 20% applies to the already-reduced price. On a $100 item: $80 after first discount, then $64 after second — only 36% total.
Reversing the Direction of Change
If something increases by 50%, it takes a 33.3% decrease (not 50%) to get back to the original. Going from 100 → 150 is +50%. Going from 150 → 100 is −33.3%. The asymmetry trips up a lot of people.
Frequently Asked Questions
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