percent

Percentage Calculator

Calculate percentages easily. Find percentage of a number, percentage change, and more.

Percentage (P)

Total/Whole (X)

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P% of X: (P/100) × X

Y is what % of X: (Y/X) × 100

Y is P% of what: Y ÷ (P/100)

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How to Use

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Select the type of percentage calculation from the dropdown
Enter the known values in the input fields
Click "Calculate" or press Enter
View the result with step-by-step solution

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What is Percentage Calculator?

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A percentage is a way of expressing a number as a fraction of 100. The word comes from Latin "per centum" meaning "by the hundred." The symbol % is used to denote percentages.

For example, 25% means 25 out of 100, which equals 0.25 as a decimal or 1/4 as a fraction. Percentages are used everywhere in daily life: discounts, tips, taxes, interest rates, statistics, and more.

This calculator helps you solve various percentage problems including finding a percentage of a number, finding what percentage one number is of another, calculating percentage increase/decrease, and more.

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Formula

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Finding P% of X:

Result = (P / 100) × X

Finding what % Y is of X:

Percentage = (Y / X) × 100

Finding X when Y is P% of X:

X = Y / (P / 100)

Adding P% to X:

Result = X × (1 + P/100)

Subtracting P% from X:

Result = X × (1 - P/100)

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Examples

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Example 1: What is 15% of $45? (calculating a tip)

15% of 45 = (15/100) × 45 = 0.15 × 45 = $6.75

Example 2: 12 out of 40 eggs is what percent?

(12/40) × 100 = 0.3 × 100 = 30%

Example 3: $100 plus 8% sales tax

$100 × (1 + 8/100) = $100 × 1.08 = $108

Example 4: $150 with 10% discount

$150 × (1 - 10/100) = $150 × 0.90 = $135

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FAQ

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How do I convert a percentage to a decimal?expand_more

To convert a percentage to a decimal, divide by 100. For example, 25% = 25/100 = 0.25. Simply move the decimal point two places to the left.

How do I convert a decimal to a percentage?expand_more

To convert a decimal to a percentage, multiply by 100 and add the % symbol. For example, 0.75 × 100 = 75%.

How do I calculate percentage increase?expand_more

Percentage increase = ((New Value - Original Value) / Original Value) × 100. For example, if a price went from $80 to $100: ((100-80)/80) × 100 = 25% increase.

How do I calculate percentage decrease?expand_more

Percentage decrease = ((Original Value - New Value) / Original Value) × 100. For example, if a price dropped from $100 to $80: ((100-80)/100) × 100 = 20% decrease.

Why do I get different results for adding then subtracting the same percentage?expand_more

Adding and subtracting the same percentage doesn't return you to the original number because the base changes. For example: $100 + 10% = $110, but $110 - 10% = $99 (not $100), because 10% of $110 is $11, not $10.