Percentage Calculator

Calculate X% of Y, find what percent one number is of another, and work out percentage increase or decrease with instant results.

This free percentage calculator helps with common percentage math in one place. Use it to solve what is X% of Y, X is what percent of Y, percentage increase and percentage decrease without doing the formula by hand.

Results update as you type, and you can use whole numbers or decimals.

What is X% of Y?

What is % of ?
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X is what percent of Y?

is what percent of ?
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Percentage Increase / Decrease

From to
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What Is a Percentage?

A percentage is a number expressed out of 100. When you see 25%, it means 25 out of every 100. Percentages make it easier to compare values, understand proportions, and explain part-to-whole relationships in a simple way.

They are used everywhere: exam scores, discounts, salary increases, savings rates, sales growth, and data comparisons. Instead of comparing raw numbers alone, percentages make the difference easier to understand at a glance.

How to Calculate Percentage

The basic percentage formula is used when you want to know what percent one number is of another.

Percentage = (Part ÷ Whole) × 100

For example, if you score 45 out of 60 on a test, the calculation is: (45 ÷ 60) × 100 = 75%. That means you scored 75%.

Use this formula when you already know the part and the whole and want the answer as a percentage.

How to Calculate Percentage of a Number

Use this method when you know the percentage and want to find the actual value it represents.

X% of Y = (X ÷ 100) × Y

Examples

20% of 150 = 30
15% of 300 = 45
12.5% of 800 = 100

This is useful for working out discounts, tax amounts, tips, commissions, and any case where you need a share of a total.

What Percent Is One Number of Another?

To find what percent one number is of another, divide the first number by the second and multiply by 100.

(A ÷ B) × 100

Example

75 is what percent of 250?
(75 ÷ 250) × 100 = 30%

Use this when you know both values and want to express their relationship as a percentage. It is common for scores, completion rates, conversions, and comparisons.

How to Calculate Percentage Increase

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

((New Value − Original Value) ÷ Original Value) × 100

Example

From 80 to 100
((100 − 80) ÷ 80) × 100 = 25% increase

This is useful for salary raises, traffic growth, revenue increases, pricing changes, and follower growth.

How to Calculate Percentage Decrease

Percentage decrease shows how much a value has gone down compared with its original amount.

((Original Value − New Value) ÷ Original Value) × 100

Example

From 200 to 150
((200 − 150) ÷ 200) × 100 = 25% decrease

Use this for markdowns, traffic drops, falling sales, reduced expenses, and any situation where a number declines over time.

How to Calculate Percentage Change Between Two Numbers

Percentage change is the general formula used when comparing an original value with a new one. If the result is positive, it is an increase. If the result is negative, it is a decrease.

((New Value − Original Value) ÷ Original Value) × 100

Example: if a price moves from 40 to 52, the result is 30% increase. If sales drop from 500 to 425, the result is 15% decrease.

Percentage Formulas at a Glance

Here are the main formulas in one place for quick reference.

Percentage

(Part ÷ Whole) × 100

X% of a Number

(X ÷ 100) × Y

% Increase

((New − Original) ÷ Original) × 100

% Decrease

((Original − New) ÷ Original) × 100

Real Percentage Examples

These worked examples make it easier to check your answer or understand the formula in context.

Question Formula Applied Result
What is 20% of 150? (20 ÷ 100) × 150 30
What is 15% of 300? (15 ÷ 100) × 300 45
45 is what percent of 60? (45 ÷ 60) × 100 75%
75 is what percent of 250? (75 ÷ 250) × 100 30%
Percentage increase from 80 to 100? ((100−80) ÷ 80) × 100 25% ↑
Percentage decrease from 200 to 150? ((200−150) ÷ 200) × 100 25% ↓

Common Percentage Calculation Mistakes

Percentage calculations are simple, but small mistakes can give the wrong answer.

⚠️Using the new value instead of the original for percentage change
⚠️Forgetting to multiply by 100
⚠️Mixing up percentage change and percentage difference
⚠️Dividing by zero when the original or whole value is 0

Common Uses for a Percentage Calculator

Percentage calculations are useful in everyday life, school, shopping, business, and finance.

🎓 Exam scores
🏷️ Discounts and sales
💼 Salary increases
📈 Sales growth
💰 Profit changes
🛒 Markups and markdowns
🏦 Savings and interest
📊 Data comparisons

Frequently Asked Questions

The fastest method is to divide the part by the whole and multiply by 100. If you want X% of a number, divide X by 100 and multiply by the number. You can also use the calculators on this page to get the answer instantly.
Use this formula: (X ÷ 100) × Y. For example, 20% of 150 is 30.
Divide the first number by the second and multiply by 100: (A ÷ B) × 100. For example, 75 out of 250 is 30%.
Use ((New − Original) ÷ Original) × 100. If the result is positive, the value increased.
Use ((Original − New) ÷ Original) × 100. This tells you how much the value dropped compared with the original amount.
Yes. A negative percentage change means the value decreased. A positive value means it increased.
Percentage change cannot be calculated normally when the original value is zero because division by zero is undefined.
Percentage change compares a new value with an original value and shows increase or decrease. Percentage difference usually compares two values without treating one as the starting point.
On a basic calculator, multiply by the percentage and divide by 100. For example, to find 20% of 150, type 150 × 20 ÷ 100 to get 30.

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