What Is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The word percentage means “per hundred” and is represented by the symbol (%). Percentages are commonly used in mathematics, finance, business, education, statistics, and everyday calculations.

For example, if 25 out of 100 students pass an exam, the pass rate is 25%. Percentages make it easier to compare values and understand proportions.

How to Calculate a Percentage

Calculating a percentage is simple. To find a percentage of a number, multiply the number by the percentage and divide the result by 100.

Formula

Percentage Value = (Percentage × Number) ÷ 100

Example

Find 20% of 500:

20 × 500 ÷ 100 = 100

Therefore, 20% of 500 equals 100.

Percentage Increase Formula

Percentage increase measures how much a value has grown compared to its original value.

Formula

Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100

Example

Original Value = 100

New Value = 150

Percentage Increase = ((150 − 100) ÷ 100) × 100

Percentage Increase = 50%

The value increased by 50%.

Percentage Decrease Formula

Percentage decrease measures how much a value has fallen from its original amount.

Formula

Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100

Example

Original Value = 200

New Value = 150

Percentage Decrease = ((200 − 150) ÷ 200) × 100

Percentage Decrease = 25%

The value decreased by 25%.

Percentage Difference Formula

Percentage difference is used to compare two values and determine the relative difference between them.

Formula

Percentage Difference = (Difference ÷ Average of Values) × 100

Example

Value A = 100

Value B = 120

Difference = 20

Average = 110

Percentage Difference = (20 ÷ 110) × 100

Percentage Difference = 18.18%

Discount Calculation

Discount percentages are commonly used in shopping and sales promotions.

Formula

Discount Amount = Original Price × Discount Percentage ÷ 100

Final Price = Original Price − Discount Amount

Example

Original Price = ₹1000

Discount = 20%

Discount Amount = ₹200

Final Price = ₹800

Why Use a Percentage Calculator?

A percentage calculator helps you perform calculations quickly and accurately without manual formulas. It can be useful for:

• Calculating discounts and sale prices
• Measuring profit and loss
• Finding exam scores and grades
• Tracking financial growth
• Comparing statistics and data
• Calculating percentage increases and decreases
• Business and accounting calculations

Benefits of Using Our Percentage Calculator

Our free Percentage Calculator is designed to provide fast and accurate results. It supports multiple percentage calculations, including basic percentages, percentage increase, percentage decrease, percentage difference, and discount calculations.

The calculator works instantly on desktop, tablet, and mobile devices, making it a convenient tool for students, professionals, business owners, and anyone who needs quick percentage calculations.

Frequently Asked Questions

What is a percentage?

A percentage is a value expressed out of 100 and is represented using the percent symbol (%).

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide the result by 100.

What is 20% of 500?

20% of 500 equals 100.

How do I calculate percentage increase?

Subtract the original value from the new value, divide by the original value, and multiply by 100.

How do I calculate percentage decrease?

Subtract the new value from the original value, divide by the original value, and multiply by 100.

Can I use this calculator for discounts?

Yes. The calculator can help determine discount amounts and final prices after discounts are applied.

Is this Percentage Calculator free?

Yes. Our Percentage Calculator is completely free and can be used as many times as needed.