What is a percentage?

A percentage is a way of expressing a number as a fraction of 100. The symbol '%' means 'per hundred'. For example, 25% means 25 out of 100, or 0.25 as a decimal, or 1/4 as a fraction.

How do I calculate X% of a number?

To find X% of a number, multiply the number by X and divide by 100. For example, 20% of 150 = (20 × 150) / 100 = 30. Alternatively, convert the percentage to a decimal (20% = 0.20) and multiply.

How do I find what percentage one number is of another?

Divide the part by the whole and multiply by 100. For example, to find what percentage 30 is of 150: (30 ÷ 150) × 100 = 20%. So 30 is 20% of 150.

How do I calculate percentage change?

Percentage change = ((New Value - Old Value) / Old Value) × 100. For example, if a price goes from $80 to $100: ((100-80)/80) × 100 = 25% increase. If it goes from $100 to $80: ((80-100)/100) × 100 = -20% decrease.

How do I add or subtract a percentage from a number?

To add X% to a number, multiply by (1 + X/100). To subtract X% from a number, multiply by (1 - X/100). For example, adding 15% to 200: 200 × 1.15 = 230. Subtracting 15% from 200: 200 × 0.85 = 170.

What's the difference between percentage and percentage points?

Percentage points measure the actual difference between two percentages. For example, going from 10% to 15% is a 5 percentage point increase, but it's a 50% relative increase ((15-10)/10 × 100). This distinction is important in finance and statistics.

Percentage Calculator

Calculate percentages quickly: find X% of a number, determine what percentage one number is of another, or calculate percentage change.

Calculation Type

Percentage (%)

The percentage to calculate

Of this number

The base number

Result

0

Visualization

20.0%

0%25%50%75%100%

Calculation

To find X% of Y

(X ÷ 100) × Y

X is what % of Y

(X ÷ Y) × 100

% Change

((New-Old) ÷ Old) × 100

Documentation

Understanding Percentages

A percentage expresses a number as a fraction of 100. The word comes from Latin per centum, meaning "by the hundred." Percentages are used everywhere: discounts, interest rates, statistics, and more.

Key Conversions

25%

= 0.25 = ¼

50%

= 0.50 = ½

75%

= 0.75 = ¾

Tip: To convert a percentage to a decimal, divide by 100. To convert a decimal to a percentage, multiply by 100.

Frequently Asked Questions

How to Use

About the Percentage Calculator

What it calculates

Solves percentage problems including finding percentage of a number, percentage change, and reverse calculations.

When to use it

Use for discounts, markups, grade calculations, growth rates, and everyday math involving percentages.

Example

15% of ₹8,000 is ₹1,200. A price increase from ₹500 to ₹650 is a 30% rise.

Explore More

Percentage Calculator

0

Visualization

Calculation

Understanding Percentages

About the Percentage Calculator

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