Percent Calculator

Solve all types of percentage problems instantly โ€” find percentages, changes, increases, and decreases.

What is P% of X?
What is % of ?
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X is what % of Y?
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Percentage Change from X to Y
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Percentage Change
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X Increased / Decreased by P%
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Original
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Change Amount
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Learn

Everything You Need to Know About Percentages

A percentage is a way of expressing a number as a fraction of 100. The word comes from the Latin per centum meaning "by the hundred." Percentages are used everywhere โ€” from calculating discounts and sales tax to understanding interest rates, test scores, and statistics.

Our Percent Calculator handles the four most common percentage problems you encounter in daily life: finding a percentage of a number, expressing a ratio as a percentage, calculating the percentage change between two values, and finding the result of a percentage increase or decrease.

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Shopping Discounts

Quickly find out how much you save. If a $120 jacket is 25% off, use "X increased by P%" in reverse โ€” or find 25% of 120 = $30 savings, making the final price $90.

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Grade & Score Analysis

If you scored 47 out of 60, use "X is what % of Y?" to find 47 รท 60 ร— 100 = 78.3%. This is your raw percentage score before any curve.

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Investment Returns

Track portfolio performance with percentage change. If your investment grew from $5,000 to $6,250, the percentage change is +25% โ€” a strong annual return by any measure.

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Tips & Tax

In restaurants, 15% tip on a $68 bill = $10.20. For a 20% tip = $13.60. Use "What is P% of X?" for instant tip calculations without mental math.

FAQ

Frequently Asked Questions

How do I calculate a percentage of a number?
Multiply the number by the percentage and divide by 100. For example, 30% of 250 = 250 ร— 30 รท 100 = 75. Alternatively, convert the percentage to a decimal (30% = 0.30) and multiply: 250 ร— 0.30 = 75.
What is the formula for percentage change?
Percentage Change = ((New Value โˆ’ Old Value) รท Old Value) ร— 100. A positive result means an increase; negative means a decrease. For example, from 80 to 100: (100โˆ’80)/80 ร— 100 = +25%. From 100 to 80: (80โˆ’100)/100 ร— 100 = โˆ’20%.
How do I find what percentage X is of Y?
Divide X by Y, then multiply by 100: (X รท Y) ร— 100. Example: 15 is what percent of 60? โ†’ (15 รท 60) ร— 100 = 25%. This is commonly used for grades, ratios, and proportional comparisons.
How do I reverse-calculate a percentage?
If a value after a 20% discount is $80 and you want the original price, divide by (1 โˆ’ 0.20) = $80 รท 0.80 = $100. Similarly, if a value after a 15% increase is $115, the original is $115 รท 1.15 โ‰ˆ $100. This is called working backwards from a percentage change.
What is the difference between percentage point and percent change?
A percentage point is an absolute difference between two percentages. If interest rates rise from 2% to 5%, that's a 3 percentage point increase โ€” but a 150% relative change. Percent change is relative: (5โˆ’2)/2 ร— 100 = 150%. The distinction matters greatly in finance and statistics reporting.