How do I calculate a percentage of a number?

Divide the percentage by 100, then multiply by the number. For example, 25% of 200 = (25 ÷ 100) × 200 = 50.

What's the difference between percentage increase and percentage points?

Percentage increase is relative to the original value (50% increase from 100 = 150). Percentage points are absolute differences (increase from 30% to 40% = 10 percentage points, but 33.3% increase).

How do I calculate percentage change?

Formula: ((New Value - Old Value) ÷ Old Value) × 100. For example, change from 100 to 150 = ((150 - 100) ÷ 100) × 100 = 50% increase.

Can percentages be greater than 100%?

Yes! Percentages over 100% indicate values greater than the whole. For example, if sales doubled, that's a 100% increase (or 200% of the original).

How do I reverse a percentage calculation?

To find the original value before a percentage increase/decrease, use: Final Value ÷ (1 + Percentage/100) for increases, or Final Value ÷ (1 - Percentage/100) for decreases.

Math Calculators

Percentage Calculator

Calculate percentages with five modes: percentage of a number, what percent one number is of another, percentage increase, percentage decrease, and percentage change between two values. Features step-by-step calculation display and visual comparison charts.

How to Use the Percentage Calculator

Use the Percentage Calculator to percentages with five modes: percentage of a number, what percent one number is of another, percentage increase, percentage decrease, and percentage change between two values. Features step-by-step calculation display and visual comparison charts.. Enter your values to get accurate, instant results tailored to your situation.

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Common Uses

Calculate percentage accurately and instantly
Calculate calculate accurately and instantly
Calculate percentages, accurately and instantly
Calculate percentage accurately and instantly
Calculate math accurately and instantly

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Percentage Guide

Master percentage calculations

Expert Tips

Percentages Express Relationships: A percentage is just a fraction with 100 as the denominator. 25% means 25 out of 100, or one quarter.
Three Common Calculations: Finding a percentage of a number, finding what percentage one number is of another, and finding the whole when you know the part and percentage.
Use Percentages for Comparison: Percentages let you compare different-sized groups fairly. A 10% increase means the same proportional change regardless of starting size.
Watch for Common Errors: Percentage points differ from percentages. Going from 10% to 15% is a 5 percentage point increase but a 50% relative increase.

Essential Fundamentals — Percentage basics

Core Concepts

What Percentages Mean: Percent means "per hundred." 50% means 50 per 100, or half. Converting to decimals (divide by 100) makes calculations easier.
Finding a Percentage: To find X% of a number, multiply by X/100. 20% of 80 is 80 × 0.20 = 16.
Finding the Percentage: To find what percent A is of B, divide A by B and multiply by 100. 15 is what percent of 60? (15/60) × 100 = 25%.

Advanced Strategies — Practical applications

Percentage Applications

Percentage Change: Calculate change by subtracting old from new, dividing by old, and multiplying by 100. Useful for comparing growth or decline.
Compound Percentages: Successive percentage changes don't simply add. A 10% increase followed by a 10% decrease doesn't return to the original value.

Frequently Asked Questions

How do I calculate a percentage of a number?: Divide the percentage by 100, then multiply by the number. For example, 25% of 200 = (25 ÷ 100) × 200 = 50.
What's the difference between percentage increase and percentage points?: Percentage increase is relative to the original value (50% increase from 100 = 150). Percentage points are absolute differences (increase from 30% to 40% = 10 percentage points, but 33.3% increase).
How do I calculate percentage change?: Formula: ((New Value - Old Value) ÷ Old Value) × 100. For example, change from 100 to 150 = ((150 - 100) ÷ 100) × 100 = 50% increase.
Can percentages be greater than 100%?: Yes! Percentages over 100% indicate values greater than the whole. For example, if sales doubled, that's a 100% increase (or 200% of the original).
How do I reverse a percentage calculation?: To find the original value before a percentage increase/decrease, use: Final Value ÷ (1 + Percentage/100) for increases, or Final Value ÷ (1 - Percentage/100) for decreases.