Percentage Calculator

A percentage calculator is a simple tool that helps you calculate percentages quickly and accurately. You can use it to find a percentage of a number, calculate percentage changes, or work out discounts.

For example, you can use a percentage calculator to find 20% of 150, calculate the percentage increase from 50 to 75, or find the final price after a 30% discount.

What Is a Percentage?

A percentage is a way of expressing a number as a part of 100.

The word percent means “per hundred.”

For example:

• 10% means 10 out of 100
• 25% means 25 out of 100
• 50% means 50 out of 100
• 75% means 75 out of 100
• 100% means the whole amount

Percentages are commonly used in shopping discounts, exams, statistics, finance, business, and everyday calculations.

How to Calculate a Percentage

The basic percentage formula is:

Percentage = (Part ÷ Whole) × 100

For example, if you scored 45 marks out of 60:

(45 ÷ 60) × 100 = 75%

So, your score is 75%.

What Is X% of Y?

To find a percentage of a number, use:

Percentage Value = (Percentage ÷ 100) × Number

For example, to find 15% of 200:

(15 ÷ 100) × 200 = 30

Therefore, 15% of 200 is 30.

X Is What Percentage of Y?

Sometimes you know two numbers and want to find what percentage one number is of another.

Use:

Percentage = (Part ÷ Whole) × 100

For example, 40 is what percentage of 200?

(40 ÷ 200) × 100 = 20%

Therefore, 40 is 20% of 200.

How to Calculate Percentage Increase

Percentage increase shows how much a value has increased compared with its original value.

The formula is:

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

For example, if a price increases from 80 to 100:

((100 − 80) ÷ 80) × 100 = 25%

The value increased by 25%.

How to Calculate Percentage Decrease

Percentage decrease shows how much a value has decreased compared with its original value.

The formula is:

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

For example, if a price decreases from 100 to 80:

((100 − 80) ÷ 100) × 100 = 20%

The value decreased by 20%.

How to Calculate a Discount

Percentage discounts are commonly used when shopping.

To calculate the discount amount:

Discount Amount = Original Price × Discount Percentage ÷ 100

For example, if an item costs 500 and has a 30% discount:

500 × 30 ÷ 100 = 150

The discount is 150.

To find the final price:

Final Price = Original Price − Discount Amount

500 − 150 = 350

So, the final price is 350.

Percentage Formulas

Here are some of the most commonly used percentage formulas.

Finding a Percentage of a Number

Percentage Value = (Percentage ÷ 100) × Number

Example:

20% of 250 = 50

Finding What Percentage One Number Is of Another

Percentage = (Part ÷ Whole) × 100

Example:

30 is what percentage of 150?

(30 ÷ 150) × 100 = 20%

Percentage Change

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

This can be used to calculate either a percentage increase or decrease.

Discount Amount

Discount Amount = Original Price × Discount Percentage ÷ 100

Final Price After Discount

Final Price = Original Price − Discount Amount

Percentage Examples

Example 1: What Is 15% of 200?

First convert 15% into a decimal:

15 ÷ 100 = 0.15

Then multiply by 200:

0.15 × 200 = 30

Answer: 30

Example 2: 40 Is What Percentage of 200?

Use the percentage formula:

(40 ÷ 200) × 100 = 20%

Answer: 20%

Example 3: A Value Increases From 80 to 100

First find the difference:

100 − 80 = 20

Then divide by the original value:

20 ÷ 80 = 0.25

Multiply by 100:

0.25 × 100 = 25%

Answer: 25% increase

Example 4: A 30% Discount on 500

Calculate the discount:

500 × 30 ÷ 100 = 150

Then subtract the discount:

500 − 150 = 350

Answer: 350 final price

Why Use a Percentage Calculator?

Calculating percentages manually can sometimes be confusing, especially when working with discounts, increases, decreases, or large numbers.

A percentage calculator can help you:

• Calculate percentages quickly
• Avoid calculation mistakes
• Calculate discounts
• Find percentage increases
• Find percentage decreases
• Compare numbers
• Check your manual calculations
• Understand how percentage formulas work

How to Use Our Percentage Calculator

Our Percentage Calculator provides several useful calculation options.

Basic Percentage

Use this option when you want to find a percentage of a number or find what percentage one number is of another.

Percentage Change

Use this option to calculate how much a value has increased or decreased.

Discount

Use this option to calculate the discount amount, savings, and final price after applying a percentage discount.

Simply enter your numbers, select the calculation you need, and the calculator will provide the result.