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Master Percent of a Number

Find any percent of any number with confidence. Learn to convert percents to decimals and multiply. Practice with our interactive tool and get instant feedback.

What is "X% of Y"?

Finding a fraction of a whole

When we ask "What is X% of Y?", we want to find X hundredths of Y. A percent is a fraction with denominator 100. Convert the percent to a decimal by dividing by 100, then multiply by the base number.

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Percent to Decimal

Divide the percent by 100. 20% becomes 0.2, 33% becomes 0.33, 7.5% becomes 0.075.

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Formula

X% of Y = (X ÷ 100) × Y. Example: 20% of 80 = 0.2 × 80 = 16.

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Percent Of Rules

Key steps for finding X% of Y

Convert Percent to Decimal

Divide by 100. 20% → 0.2, 25% → 0.25, 50% → 0.5.

20% of 80 = 0.2 \times 80 = 16
25% of 40 = 0.25 \times 40 = 10

Multiply by the Base

Once converted, multiply the decimal by the base number. Round decimals as needed.

33% of 90 = 0.33 \times 90 = 29.7
10% of 50 = 0.1 \times 50 = 5

Percent Of Examples

Worked examples

Basic Examples

10% of 505
25% of 4010
33% of 9029.7

Why Percent Of Matters

Finding a percent of a number appears in discounts, tips, tax, interest, and statistics. It is one of the most common real-world applications of arithmetic.

Applications

Used in shopping (20% off), tips (15% of bill), tax (8% of purchase), interest, and any situation where you need a fraction of a quantity.

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Percent Of Practice

Practice "What is X% of Y?" with easy, medium, and hard levels.

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Percentages Overview

Explore more percentage topics and practice resources.

Percentages Overview