Use our percentage calculator to quickly calculate percentages, percentage increases, percentage decreases, and percentage changes. Whether you need to find a percentage of a number, calculate how much a value has increased or decreased, or work backwards to find the original value, these tools provide clear results with step-by-step calculations.
Our percentage calculators are free to use and designed to make common percentage calculations simple and easy to understand. Enter your values, choose the calculation you need, and get the result instantly.
What Can You Calculate with a Percentage Calculator?
Percentages are used in many everyday calculations, from discounts and price increases to comparing values and finding the original amount. Our percentage calculators cover several common types of percentage calculations.
Percentage of a Number
Find a specific percentage of a number quickly. For example, calculate 20% of 150 to find the corresponding value.
Percentage Increase
Calculate how much a value has increased and determine the percentage increase between an original value and a new value. This is useful for price increases, salary changes, population growth, and other changes over time.
Percentage Decrease
Calculate how much a value has decreased and determine the percentage decrease. This can be useful for discounts, price reductions, depreciation, and other situations where a value becomes smaller.
Find the Original Value Before a Percentage Increase
Work backwards from a final value to determine the original value before a percentage increase was applied.
Find the Original Value Before a Percentage Decrease
Calculate the original value before a discount or other percentage reduction was applied.
Percentage Change
Compare two values and calculate the percentage change between them. This makes it easy to see how much a value has changed relative to its original value.
How to Calculate a Percentage
Calculating a percentage is simple once you know the basic formula. To find what percentage one number is of another, divide the first number by the second number and multiply the result by 100.
Percentage = (Part ÷ Whole) × 100
Example: What Percentage Is 25 of 200?
To calculate what percentage 25 is of 200:
(25 ÷ 200) × 100 = 12.5%
So, 25 is 12.5% of 200.
How to Calculate a Percentage of a Number
To find a percentage of a number, convert the percentage to a decimal and multiply it by the number.
Percentage of a number = Number × (Percentage ÷ 100)
For example, to calculate 20% of 150:
150 × (20 ÷ 100) = 30
Therefore, 20% of 150 is 30.
How to Calculate Percentage Increase or Decrease
To calculate the percentage change between an original value and a new value, use:
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
A positive result represents an increase, while a negative result represents a decrease.
For example, if a price increases from $100 to $120:
((120 − 100) ÷ 100) × 100 = 20%
The price has therefore increased by 20%.
Percentage Calculator Tools
Choose the percentage calculation you need below. Each calculator is designed for a specific type of percentage problem and provides a quick result along with a clear calculation.
Percentage of a Number
Find a percentage of any number. Enter the number and the percentage to calculate the result.
Example: What is 15% of 200? The answer is 30.
Percentage Increase
Calculate the percentage increase between an original value and a new value. This is useful for comparing prices, salaries, measurements, and other values that have increased.
Percentage Decrease
Calculate the percentage decrease between an original value and a new value. This can be useful for discounts, price reductions, depreciation, and other situations where a value has decreased.
Original Value Before a Percentage Increase
Find the original value when you know the final value and the percentage by which it increased.
Original Value Before a Percentage Decrease
Find the original value before a percentage reduction or discount was applied.
Percentage Difference and Change
Compare two values and determine the percentage change between them. This makes it easier to understand how large a change is relative to the original value.
Percentage of quantity
Easily learn how to find the percentage of a quantity using simple steps and clear examples. Our guide explains the percentage formula and helps you calculate any value quickly and accurately.
Example: I bought a magazine for 30$ and there was a 10% discount. How much did i save?
Percentage of a raise
Percentage of a raise refers to the increase in an employee’s salary expressed as a percentage of their current pay. Understanding the percentage of a raise helps employees and employers evaluate salary growth and plan financial goals effectively.
Example: My salary was 650$, but after my raise it is 690$. What was the percentage increase?
Percentage of a reduction
Percentage of a reduction refers to the decrease in a quantity expressed as a percentage of its original value. Calculating the percentage of a reduction is useful for tracking discounts, cost savings, and declines in business or financial metrics.
Example: My salary was 350$ but after cost savings my new salary is 330$. What is the percentage of this decrease?
Get original value before percentage increase
Getting the original value before a percentage increase involves calculating the initial amount before a known percentage was added. This calculation is essential for finance, sales, and budgeting to determine the true starting value accurately.
Example: After a 20% increase the new saluare was 3200$. What was the salary before the increase?
Percentage Calculation Examples
Understanding percentages becomes easier when you see how the calculations work. Here are some common percentage problems with step-by-step solutions.
Example 1: What Is 20% of 250?
To find 20% of 250, multiply 250 by 20 and divide by 100:
250 × 20 ÷ 100 = 50
Therefore, 20% of 250 is 50.
Example 2: What Percentage Is 30 of 150?
Divide the part by the whole and multiply by 100:
(30 ÷ 150) × 100 = 20%
Therefore, 30 is 20% of 150.
Example 3: A Price Increases from $80 to $100
First, find the difference:
$100 − $80 = $20
Then divide the difference by the original value and multiply by 100:
($20 ÷ $80) × 100 = 25%
The price has therefore increased by 25%.
Example 4: A Price Decreases from $100 to $75
First, find the difference:
$100 − $75 = $25
Then calculate the percentage decrease:
($25 ÷ $100) × 100 = 25%
The price has therefore decreased by 25%.
Example 5: Finding the Original Price After a 20% Discount
Suppose an item costs $80 after a 20% discount. To find the original price, remember that $80 represents 80% of the original price.
$80 ÷ 0.80 = $100
The original price was therefore $100.
Percentage Formulas
Different percentage problems require different formulas. The following formulas cover the most common percentage calculations.
Percentage of a Number
To find a percentage of a number:
Result = Number × (Percentage ÷ 100)
For example:
200 × (15 ÷ 100) = 30
So, 15% of 200 is 30.
What Percentage Is One Number of Another?
To find what percentage one number represents of another:
Percentage = (Part ÷ Whole) × 100
For example:
(25 ÷ 200) × 100 = 12.5%
So, 25 is 12.5% of 200.
Percentage Increase
To calculate the percentage increase between an original value and a new value:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
Percentage Decrease
To calculate the percentage decrease:
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
Percentage Change
For a general percentage change between two values:
Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100
A positive result indicates an increase, while a negative result indicates a decrease.
Finding the Original Value
If you know the final value after a percentage increase:
Original Value = Final Value ÷ (1 + Percentage Increase ÷ 100)
If you know the final value after a percentage decrease:
Original Value = Final Value ÷ (1 − Percentage Decrease ÷ 100)
How Are Percentages Used in Everyday Life?
Percentages are used in many everyday situations. Understanding how to calculate percentages can help you compare prices, understand changes in costs, and make better financial decisions.
Discounts and Sales
Retailers commonly use percentages to show discounts. For example, a 25% discount on a $200 item reduces the price by $50, making the sale price $150.
Price Increases
Businesses may increase prices by a percentage to account for inflation, higher costs, or changes in demand. A 10% increase on a $50 price results in a new price of $55.
Salary Increases
Percentage calculations can also be used to calculate salary increases. If a salary of $50,000 increases by 5%, the increase is $2,500 and the new salary is $52,500.
Taxes
Taxes are often expressed as percentages. To calculate the tax amount, multiply the taxable amount by the applicable tax rate.
Interest and Savings
Interest rates are another common use of percentages. Banks and financial institutions use percentage rates to describe the interest earned on savings or charged on loans.
Comparing Changes
Percentages make it easier to compare changes between different values. For example, percentage change can show how much a price, measurement, population, or other value has increased or decreased relative to its original value.
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How do I calculate a percentage?
To calculate what percentage one number is of another, divide the first number by the second number and multiply by 100.
For example, if 25 is part of 100:
How do I calculate a percentage of a number?
To calculate a percentage of a number, multiply the number by the percentage divided by 100.
For example, to calculate 20% of 150:
So, 20% of 150 is 30.
How do I calculate percentage increase?
To calculate a percentage increase, subtract the original value from the new value. Then divide the difference by the original value and multiply by 100.
For example, if a value increases from 100 to 120, the percentage increase is 20%.
How do I calculate percentage decrease?
To calculate a percentage decrease, subtract the new value from the original value. Then divide the difference by the original value and multiply by 100.
For example, if a price decreases from 100 to 80, the percentage decrease is 20%.
How do I find the original value before a discount?
If you know the final price after a percentage discount, divide the final price by the percentage that remains after the discount.
For example, after a 20% discount, the final price represents 80% of the original price.
If the final price is $80, the original price was:
What is the difference between percentage change and percentage difference?
Percentage change compares a new value with an original value and uses the original value as the reference.
Percentage difference is generally used to compare two values without treating either value as the starting point. The two calculations therefore have different purposes.
Can I use a percentage calculator for discounts?
Yes. A percentage calculator can be used to calculate the discount amount, the final price after a discount, and the original price when the discounted price is known.
For example, you can use a percentage calculator to find how much you save on a 15% or 20% discount and what the final price will be.
Can I calculate percentage increases and decreases?
Yes. A percentage calculator can be used to calculate both percentage increases and percentage decreases by comparing an original value with a new value.
This is useful for calculating changes in prices, salaries, sales, measurements, test scores, and other values.