Percentage Calculator

Percentage (%)

Of Number

Original Value

New Value

Original Value

New Value

Value 1

Value 2

Result

Result:

Calculation:

Formula Used

How to Use the Percentage Calculator

Select Calculation Type: Choose from four types of percentage calculations - percentage of a number, percentage increase, percentage decrease, or percentage difference.
Enter Values: Input the required numbers in the calculator fields. For percentage increase/decrease, enter original and new values. For percentage of a number, enter the percentage and the number.
Calculate: Click the calculate button to see your result instantly.
View Formula: The calculator shows you the exact formula used, helping you understand the calculation process.

This calculator is perfect for students solving math problems, business professionals calculating discounts and markups, and anyone who needs quick percentage calculations.

Features of Our Percentage Calculator

Instant Results

Get your percentage calculations instantly with no waiting time.

Multiple Calculations

Calculate increase, decrease, difference, and percentage of numbers.

Learn Formulas

See the exact formula used for each calculation to learn the math.

Mobile Friendly

Works perfectly on smartphones, tablets, and desktop computers.

Educational Tool

Perfect for students learning percentage calculations.

Business Ready

Calculate discounts, markups, profit margins, and more.

Understanding Percentage Calculations

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The term "percent" comes from the Latin "per centum" meaning "by the hundred." Percentages are used in everyday life for calculating discounts, interest rates, statistics, and much more.

Basic Percentage Formula

The fundamental formula for calculating percentage is:

Percentage = (Part ÷ Whole) × 100
To find what percentage one number is of another: (A ÷ B) × 100

Calculating Percentage of a Number

To find X% of a number Y:

Formula: (X × Y) ÷ 100
Example: What is 20% of 150?
Calculation: (20 × 150) ÷ 100 = 30

Percentage Increase

Percentage increase shows how much a value has grown relative to its original amount:

Formula: ((New Value - Original Value) ÷ Original Value) × 100
Example: Price increased from $50 to $65
Calculation: ((65 - 50) ÷ 50) × 100 = 30% increase

Percentage Decrease

Percentage decrease shows how much a value has dropped relative to its original amount:

Formula: ((Original Value - New Value) ÷ Original Value) × 100
Example: Price decreased from $80 to $60
Calculation: ((80 - 60) ÷ 80) × 100 = 25% decrease

Percentage Difference

Percentage difference shows the relative difference between two values:

Formula: (|Value1 - Value2| ÷ ((Value1 + Value2) ÷ 2)) × 100
Example: Difference between 40 and 60
Calculation: (|40 - 60| ÷ ((40 + 60) ÷ 2)) × 100 = 40%

Common Percentage Calculations

Calculation	Formula	Example
Percentage of a number	(% × Number) ÷ 100	25% of 200 = 50
What % is A of B?	(A ÷ B) × 100	30 is what % of 150? = 20%
Increase by %	Original + (Original × % ÷ 100)	100 increased by 20% = 120
Decrease by %	Original - (Original × % ÷ 100)	100 decreased by 20% = 80
Find original from %	Value ÷ (% ÷ 100)	If 50 is 25%, original = 200

Real-World Applications

Shopping: Calculating discounts (20% off means you pay 80%)
Finance: Interest rates, investment returns, tax calculations
Business: Profit margins, market share, growth rates
Statistics: Survey results, probability, data analysis
Health: Body fat percentage, nutritional values
Education: Test scores, grading systems

Frequently Asked Questions

How do I calculate percentage?

To calculate percentage of a number: multiply the number by the percentage and divide by 100. Example: 20% of 50 = (20 × 50) ÷ 100 = 10.

How to calculate percentage increase?

Percentage increase = ((New Value - Original Value) ÷ Original Value) × 100. Example: Price increased from $50 to $60. Increase = ((60-50) ÷ 50) × 100 = 20%.

How to calculate percentage decrease?

Percentage decrease = ((Original Value - New Value) ÷ Original Value) × 100. Example: Price decreased from $80 to $60. Decrease = ((80-60) ÷ 80) × 100 = 25%.

Is this percentage calculator free?

Yes, this percentage calculator is completely free to use. No registration or sign-up required. Use it as many times as you need.

What is the percentage formula?

The basic percentage formula is: Percentage = (Part ÷ Whole) × 100. To find a percentage of a number: Result = (Percentage × Number) ÷ 100.

How do I calculate discount percentage?

To calculate discount percentage: ((Original Price - Sale Price) ÷ Original Price) × 100. Example: Item was $100, now $75. Discount = ((100-75) ÷ 100) × 100 = 25% off.

Can I use this for business calculations?

Absolutely! This calculator is perfect for business use. Calculate profit margins, markups, discounts, growth rates, and more. All calculations are accurate and suitable for professional use.

About Us

Contact Info

Free Online Percentage Calculator