Percentage Calculator

Calculate any percentage quickly and easily. Perfect for discounts, tips, grades, business calculations, and more with step-by-step explanations.

Percentage Calculator

What is X% of Y?

What is% of?
Result

X is what % of Y?

is what % of?
Result

X is Y% of what?

is% of what?
Result

Percentage Increase/Decrease

Result

Common Applications

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Discounts & Sales

Calculate savings on purchases

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Investment Returns

Track profit and loss percentages

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Tips & Service

Calculate restaurant tips

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Understanding Percentages

Percentage simply means "per hundred" or "out of 100". It's a way to express a fraction with a denominator of 100. When we say 25%, we mean 25 out of 100, or 25/100, or 0.25.

Basic Formula:

Percentage = (Part / Whole) × 100

What is X% of Y?

When you see the % symbol, think of it as dividing by 100. So X% of Y means (X/100) × Y.

Formula:

Result = (X / 100) × Y

Examples:

Example 1:

What is 25% of 80?

(25/100) × 80 = 20

Example 2:

What is 15% of 200?

(15/100) × 200 = 30

A is what % of B?

This finds what percentage A represents of the total value B.

Formula:

Percentage = (A / B) × 100

Examples:

Example 1:

30 is what % of 120?

(30/120) × 100 = 25%

Example 2:

45 is what % of 180?

(45/180) × 100 = 25%

A is X% of what?

This finds the whole value when you know the part and the percentage.

Formula:

Whole = (A × 100) / X

Examples:

Example 1:

15 is 30% of what?

(15 × 100) / 30 = 50

Example 2:

24 is 40% of what?

(24 × 100) / 40 = 60

Percentage Increase/Decrease

To calculate the percentage change between two values, we find the difference and express it as a percentage of the original value.

Formula:

% Change = ((New Value - Old Value) / Old Value) × 100

Examples:

Increase Example:

From 50 to 75

((75-50)/50) × 100 = 50% ↑

Decrease Example:

From 100 to 80

((80-100)/100) × 100 = -20% ↓