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Percentage Calculator

Percentage calculators: determine the percentage of a number, apply a reduction, an increase, or calculate the rate of change.

Calculate percentage of a number

Example

20% of 100 = 20

Formula

(percentage * number) / 100 = result

Apply a percentage increase

Example

100 + 20% = 120

Formula

number * (percent / 100) = result

Apply a percentage decrease

Example

100 - 20% = 80

Formula

number - (number * (percent / 100)) = result

Find the percentage of a number by another number

Example

50 by 100 is 50%

Formula

(number 1 * 100 / number 2) = percentage

Find the rate of change between two numbers

Example

To reach 150 from 100 it takes 50% increase

Formula

((number 2 - number 1) / number 1) * 100 = percentage

The percentage calculator is a simple tool that answers a common question: what is X% of Y?
Just fill in the two fields, and the result will be displayed instantly and automatically.

In addition to being useful for understanding percentages and fractions, this calculator can be used in many everyday situations:

  • calculating VAT or taxes,
  • estimating a commission on a sale,
  • calculating a discount on a price,
  • and much more.

Other related calculators help solve specific problems:

  • Discount percentage: calculates the new price after a discount is applied.
  • Increase percentage: measures how much an old value has changed into a new one.
  • Percentage change: how much a value has changed in percentage terms.

These tools are designed to be fast, intuitive, and useful in many situations, whether for learning or everyday calculations.

Table of contents

What is a percentage?

The term percentage refers to a way of expressing a numerical relationship between two values without using units, alongside other methods like ratios and fractions. It's widely used because it effectively describes many real-world scenarios — whether it's large quantities (like lottery win probabilities), average scores (like course grades), or even tiny proportions (like the percentage of NO₂ in the air, often expressed in parts per million or PPM).

The concept of “percent,” literally meaning per hundred, refers to a portion out of 100. The symbol % is the most common representation, though "pct" is also sometimes used. So, 5% is the same as 5 pct, 0.05, 5/100, or five hundredths. The percentage calculator makes working with these decimal fractions and percentages easy, even for more advanced operations like a percentage of a percentage.

How to find the percentage of something?

Using percentages doesn’t have to involve complex math. Often, we just want to understand what portion one number is of another. For example, say you have 50 apples and want to know what percentage 10 of those apples represent. You're really asking: what percentage is 10 of 50?

The calculation is: (10 divided by 50) multiplied by 100.
That’s (10 / 50) * 100 = 20%.
So 10 apples represent 20% of the 50 apples.
This shows how percentages clearly and simply express the relationship between a part and the whole. The calculator makes this process even easier by providing instant results for similar cases. For this example, you can use the "Find the percentage of a number compared to another" calculator above.

Why use a percentage calculator?

Using a percentage calculator helps you solve these seemingly simple but essential numerical problems efficiently. Whether you're a student, a professional, or anyone dealing with percentages regularly, this tool allows you to perform these calculations quickly and accurately, ensuring you understand and use percentages effectively in everyday life.

Understanding and calculating percentages

Percentage calculation is a fundamental math skill, applied in various personal and professional contexts. Whether you're calculating a discount, figuring out a share of a total, or analyzing statistics, understanding how to work with percentages is crucial. This online tool offers a fast and accurate solution for all your percentage calculation needs.

How to use the percentage calculator

Using the percentage calculator is simple and intuitive. Just enter the required values in the relevant fields: the total value and the value you want to convert into a percentage. The tool will automatically and instantly compute the percentage. This tool is especially useful for professionals and students who frequently work with data and need accurate results fast.

Percentage calculation formulas

Understanding the basic percentage formulas is key to applying them correctly in everyday situations. Below are clear explanations for each type of percentage calculation.

Find the value of a percentage

To find the value represented by a certain percentage of a number, use this formula:
(Number * Percentage) / 100
For example, 20% of 150 is calculated as:
(150 * 20) / 100 = 30

Apply a percentage increase

To apply a percentage increase to a value, use the formula:
((Original Value * Percentage Increase) / 100) + Original Value
For example, if you want to increase €50 by 10%, the new value is:
((50 * 10) / 100) + 50 = €55

Apply a percentage discount

To apply a percentage discount to a value, the formula is:
Original Value - (Original Value * Discount Percentage) / 100
If you want to reduce an €80 price by 25%, the new price is:
80 - (80 * 25) / 100 = €60

Find the percentage of one number relative to another

Divide the first number by the second, then multiply by 100.
Formula: (Number1 / Number2) * 100
For example, if you answered 45 questions correctly out of 50, your score is:
(45 / 50) * 100 = 90%

Find the percentage change between two numbers

Also called the rate of change, this formula compares the difference between two values.
Formula:
((Final Value - Initial Value) / Initial Value) * 100
For example, going from 200 to 300 is a change of:
((300 - 200) / 200) * 100 = 50%

Practical applications of percentages

Percentages have many everyday uses. They’re used for calculating interest rates, sales discounts, sports stats, business performance, medical statistics, and much more. Mastering percentages helps you make informed decisions in financial, business, and academic situations. Whether you're a math student, a finance professional, or a shop owner, an online percentage calculator is an essential tool for fast, accurate calculations.

Calculating percentages by hand

Calculating percentages manually can be tedious and error-prone. By using a percentage calculator, you can get quick, accurate results while saving time and avoiding mistakes.

Examples of percentage calculations

Percentage calculations are everywhere in daily life—whether you’re figuring out a discount, calculating interest, or measuring performance. Here are some practical examples of how percentages are used:

Discount calculation: Let’s say an item costs €150, and there’s a 20% discount. To find the discount amount, calculate 20% of €150. That’s a saving of €30.

Bank interest: If you deposit €1000 into a savings account with a 3% annual interest rate, the interest earned in one year is 3% of €1000, or €30.

Cooking measurement: If a recipe calls for 500g of flour, but you only have 400g, you can calculate that you have 80% of the required amount and adjust the other ingredients accordingly.

Performance statistics: If a salesperson reaches 450 sales out of a 500-target, they’ve achieved 90% of their goal. This type of calculation is essential in many professional sectors.

VAT calculation: Suppose you buy a product priced at €100 before tax and the applicable VAT is 20%. To calculate VAT, multiply the pre-tax price by the rate:
(100 * 20) / 100 = €20.
The total price including VAT is €120.

Is the calculator free?

Absolutely, the percentage calculator is completely free to use. Whether for personal or professional purposes, you can use it as many times as you like, with no limitations.

Useful links and resources

To learn more about percentages and how to calculate them in different ways, check out the following resources: