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AI-Powered Percentage Calculator | Free Online Tool

Online Percentage Calculator

AI-Powered Percentage Calculations Made Simple

Calculation Type

Decimal Places

How to Use Our Percentage Calculator

Follow these simple steps to calculate percentages:

Select the type of calculation you need from the dropdown menu
Enter your numbers in the input fields
Click "Calculate" to see your result
View the AI-powered explanation and visual representation

Common Percentage Calculations

Calculating Percentage of a Number

To find a percentage of a number, multiply the number by the percentage divided by 100. For example, to find 20% of 500, calculate: (20 ÷ 100) × 500 = 100.

Percentage Increase and Decrease

To calculate percentage change, subtract the original value from the new value, divide by the original value, and multiply by 100. For example, if a price increases from $100 to $150, the percentage increase is: ((150 - 100) ÷ 100) × 100 = 50%.

Finding What Percentage One Number is of Another

To find what percentage one number is of another, divide the first number by the second and multiply by 100. For example, to find what percentage 25 is of 200: (25 ÷ 200) × 100 = 12.5%.

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What is Percentage?

A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign %. Percentages are commonly used to compare proportions, describe changes, and measure growth or decline.

Formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$

Example:

If you scored 45 marks out of 50 in an exam, the percentage is:

$\text{Percentage} = \frac{45}{50} \times 100 = 90\%$

Percentage of a Number

This calculation determines a specific percentage of a given number.

Formula:

$\text{Percentage of a Number} = \frac{\text{Percentage}}{100} \times \text{Number}$

Example:

What is 25% of 200?

$\text{Percentage of a Number} = \frac{25}{100} \times 200 = 50$

Answer: 25% of 200 is 50.

Percentage Change

Percentage change measures the degree of increase or decrease between two values over time.

Formula:

$\text{Percentage Change} = \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100$

Example:

If the price of an item increases from $40 to $50:

$\text{Percentage Change} = \frac{50 – 40}{40} \times 100 = 25\%$

Answer: The price increased by 25%.

Find Percentage

This calculation finds what percentage one number is of another.

Formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$

Example:

What percentage is 30 of 150?

$\text{Percentage} = \frac{30}{150} \times 100 = 20\%$

Answer: 30 is 20% of 150.

Reverse Percentage

Reverse percentage is used to find the original value when the percentage and resulting value are known.

Formula:

$\text{Original Value} = \frac{\text{Resulting Value}}{\text{Percentage}} \times 100$

Example:

If 150 is 75% of a number, what is the original number?

$\text{Original Value} = \frac{150}{75} \times 100 = 200$

Answer: The original number is 200.

Summary Table of Formulas:

Calculation	Formula
Percentage	$\frac{\text{Part}}{\text{Whole}} \times 100$
Percentage of a Number	$\frac{\text{Percentage}}{100} \times \text{Number}$
Percentage Change	$\frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100$
Find Percentage	$\frac{\text{Part}}{\text{Whole}} \times 100$
Reverse Percentage	$\frac{\text{Resulting Value}}{\text{Percentage}} \times 100$

These concepts are widely used in finance, education, business, and daily life for comparisons, budgeting, and decision-making. Understanding percentages helps in better analyzing and interpreting data effectively!