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Percentage Calculator

Calculate percentages and get AI-generated examples.

What is X% of Y?

% of

Enter the percentage value.

Enter the total number.

Result will appear here...

X is what percent of Y?

is what % of

Enter the part of the total.

Enter the total amount.

Result will appear here...

Percentage Change

From to

Enter the initial value.

Enter the final value.

Result will appear here...

About This Percentage Calculator

This is a versatile online tool designed to simplify all your percentage-related calculations. Whether you need to find a percentage of a number, determine what percentage one number is of another, or calculate the percentage increase or decrease between two values, this calculator has you covered.

Our user-friendly interface makes complex percentage problems easy to solve. Plus, with our unique AI-powered example generator, you can get real-world word problems to better understand how percentages apply in everyday situations.

How to Calculate Percentages Manually

1. What is X% of Y?

To find X% of Y, use the formula:

$(X / 100) \times Y$

**Example:** To find 20% of 150:

$(20 / 100) \times 150 = 0.20 \times 150 = 30$

2. X is what percent of Y?

To find what percentage X is of Y, use the formula:

$(X / Y) \times 100$

**Example:** To find what percentage 30 is of 150:

$(30 / 150) \times 100 = 0.20 \times 100 = 20\%$

3. Percentage Change (Increase/Decrease)

To calculate the percentage change from an old value to a new value, use the formula:

$( (New Value - Old Value) / Old Value ) \times 100$

**Example (Increase):** From 100 to 120:

$((120 - 100) / 100) \times 100 = (20 / 100) \times 100 = 20\%$ Increase

**Example (Decrease):** From 100 to 80:

$((80 - 100) / 100) \times 100 = (-20 / 100) \times 100 = -20\%$ (20% Decrease)

Frequently Asked Questions (FAQ)

Q: What is a percentage?

A: A percentage is a way to express a part of a whole, specifically as a fraction of 100. It helps us understand proportions or compare quantities easily. For instance, if 25 out of 100 items are red, we say 25% are red.

Q: How do I calculate a percentage?

A: To find a percentage, you divide the portion you're interested in by the total amount, and then multiply the result by 100. For example, to find what percentage 20 apples are out of 50 total apples, you calculate (20 / 50) * 100, which equals 40%.

Q: Why are percentages important in daily life?

A: Percentages are incredibly useful in many everyday situations! They help us with tasks like figuring out discounts on shopping, understanding interest rates on loans or savings, interpreting statistics in news, and analyzing financial changes. Grasping how percentages work empowers you to make smarter decisions in various aspects of life, from managing your money to understanding reports.