What Is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred," making it one of the easiest ways to compare values. Percentages are widely used in shopping, finance, education, business, taxes, statistics, and everyday calculations.
For example, a score of 80% means 80 out of every 100, while a 25% discount means you save 25 out of every 100 units of the original price.
This Percentage Calculator lets you quickly calculate percentages, percentage increase, percentage decrease, percentage difference, percentage change, and reverse percentages with accurate real-time results.
How to Use This Percentage Calculator
This calculator includes multiple calculation modes, allowing you to solve the most common percentage problems quickly and accurately.
- Select the type of percentage calculation you want to perform.
- Enter the required values in the input fields.
- View the calculated result instantly as you type.
- Use the Advanced section to calculate percentage change or percentage difference between two values.
- Download or share your results whenever needed.
Percentage Formula and Calculation Method
This Percentage Calculator supports multiple calculation methods, including finding a percentage of a number, calculating what percentage one value is of another, working out the original value, measuring percentage change, and calculating percentage difference.
Percentage of a Number Formula
Result = (Percentage × Number) ÷ 100
Example
Find 25% of 200.
- Result = (25 × 200) ÷ 100 = 50
- Fraction = 25/100
- Decimal = 25 ÷ 100 = 0.25
- Remaining Value = 200 − 50 = 150
What Percentage Is One Number of Another Formula
Percentage = (Part ÷ Whole) × 100
Example
What percentage is 45 of 180?
- Percentage = (45 ÷ 180) × 100 = 25%
- Decimal = 45 ÷ 180 = 0.25
- Fraction = 45/180
- Remaining Value = 180 − 45 = 135
Original Value Formula
Original Value = Result ÷ (Percentage ÷ 100)
Example
If 20% equals 50:
- Original Value = 50 ÷ (20 ÷ 100) = 250
- Difference = 250 − 50 = 200
- Decimal = 20 ÷ 100 = 0.20
- Multiplier = 250 ÷ 50 = 5
Percentage Change Formula
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
Example
Original Value = 80, New Value = 100
- Percentage Change = ((100 − 80) ÷ 80) × 100 = 25%
- Difference = 100 − 80 = 20
- Direction = Increase
- Change Factor = 100 ÷ 80 = 1.25
Percentage Difference Formula
Percentage Difference = (|A − B| ÷ ((A + B) ÷ 2)) × 100
Example
Compare 40 and 50.
- Percentage Difference = (10 ÷ 45) × 100 = 22.22%
- Average Value = (40 + 50) ÷ 2 = 45
- Difference = |40 − 50| = 10
- Value Ratio = 40 ÷ 50 = 0.80
If you need to calculate sale prices and savings, try our Discount Calculator.
Why Percentage Calculation Matters
Percentage calculation helps you compare values fairly, regardless of their actual size. Instead of looking only at raw numbers, percentages show the relative change or proportion between two values, making information easier to understand and compare.
Calculating percentages is useful in many everyday situations. You can find the real amount of a discount before making a purchase, measure profit or loss in a business, calculate salary increases, compare exam scores, evaluate investment returns, track changes in expenses, and analyze reports or survey results. Using percentages provides a standardized way to measure performance, identify trends, and make informed decisions based on accurate data.
Frequently Asked Questions
To calculate a percentage, divide the part by the whole and multiply the result by 100.
Formula: Percentage = (Part ÷ Whole) × 100
Multiply the number by the percentage and divide by 100. For example, 20% of 70 equals 14 because (20 × 70) ÷ 100 = 14.
Divide the first number by the second number and multiply by 100.
Formula: Percentage = (First Number ÷ Second Number) × 100
Divide the known value by the percentage expressed as a decimal.
Formula: Original Value = Result ÷ (Percentage ÷ 100)
Subtract the original value from the new value, divide by the original value, and multiply by 100.
Formula: Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
Find the absolute difference between two values, divide it by their average, and multiply by 100.
Formula: Percentage Difference = (|A − B| ÷ ((A + B) ÷ 2)) × 100
Yes. Both calculations equal 2 because 8% of 25 = 2 and 25% of 8 = 2. This happens because multiplication is commutative, so both expressions produce the same result.
Key Takeaways
Use this Percentage Calculator to solve common percentage problems accurately in just a few seconds.
- Calculate percentages, reverse percentages, percentage changes, and percentage differences.
- Reduce manual calculations and minimize calculation errors.
- Use percentage calculations for shopping, finance, business, education, and everyday tasks.
- Compare values and measure increases or decreases with confidence.
- View additional calculation details to better understand each result.