Percentage Calculator – Free Online Percentage Calculator
Percentage Calculator
Use this free percentage calculator to calculate percentages, find a percentage of a number, calculate percentage increase or decrease, and find the percentage difference between two values. Each calculation includes a simple step-by-step solution.
Online Percentage Calculator
What Is a Percentage?
A percentage is a number expressed as a fraction of 100. The word percentage comes from the idea of "per hundred." The symbol used for percentage is %.
For example, 25% means 25 out of every 100. It can also be written as 25/100 or 0.25.
Percentage Formula
The most common percentage formula is:
This formula can be used for exam marks, survey results, attendance, discounts, statistics, business calculations, and many other everyday situations.
Formula to Find a Percentage of a Number
Percentage Increase or Decrease Formula
Percentage Difference Formula
How to Calculate Percentage Step by Step
Example 1: 45 Is What Percentage of 60?
Step 1: Identify the part: 45
Step 2: Identify the total: 60
Step 3: Apply the formula:
(45 ÷ 60) × 100
Step 4: 0.75 × 100 = 75%
Therefore, 45 is 75% of 60.
Example 2: What Is 20% of 500?
Convert 20% to a decimal: 20 ÷ 100 = 0.20
Multiply by 500: 0.20 × 500 = 100
Therefore, 20% of 500 is 100.
Example 3: Percentage Increase from 100 to 125
Difference = 125 − 100 = 25
Percentage change = (25 ÷ 100) × 100
Percentage change = 25%
The value increased by 25%.
Explanation of Every Calculator Input
Part or Obtained Value
This is the amount you want to compare with a total. For example, if you scored 72 marks out of 100, your obtained value is 72.
Total or Original Value
This is the complete amount or reference value. In a marks calculation, it would usually be the maximum possible marks.
Percentage
Enter the percentage you want to calculate. For example, enter 15 when calculating 15% of a number.
Number
Enter the number from which you want to calculate the specified percentage.
Original Value
Enter the value before an increase or decrease. Percentage change is calculated relative to this value.
New Value
Enter the value after the increase or decrease. The calculator compares it with the original value.
First and Second Values
These values are used to calculate percentage difference. Unlike percentage change, percentage difference does not treat either value as the original or reference value.
How to Interpret a Percentage Result
A percentage tells you how one amount relates to another amount on a scale of 100.
For example, if the result is 75%, the part represents 75 out of every 100 units of the total.
In percentage-change calculations, a positive percentage means the value increased, while a negative percentage means the value decreased.
Common Uses of Percentage Calculations
Exam Marks Percentage
Divide marks obtained by total marks and multiply by 100. For example, 450 out of 500 marks equals 90%.
Discount Percentage
A discount percentage tells you how much the price has been reduced compared with its original price.
Profit Percentage
Profit percentage is generally calculated by dividing profit by cost price and multiplying by 100.
Percentage Increase
Percentage increase shows how much a value has grown relative to its original value.
Percentage Decrease
Percentage decrease shows how much a value has fallen relative to its original value.
Related Calculators
Frequently Asked Questions
What is the basic percentage formula?
The basic formula is Percentage = (Part ÷ Total) × 100.
How do I calculate 10% of a number?
Divide the number by 10. For example, 10% of 300 is 30.
How do I calculate 20% of 500?
Multiply 500 by 20 and divide by 100. The result is 100.
Can a percentage be more than 100%?
Yes. A percentage can exceed 100% when the compared value is greater than the reference value. For example, 200 is 200% of 100.
What does a negative percentage mean?
In a percentage-change calculation, a negative result normally indicates that the new value is lower than the original value.
What is the difference between percentage change and percentage difference?
Percentage change compares a new value with an original value. Percentage difference compares two values using their average and does not designate either value as the original.
What is 25% as a decimal?
25% as a decimal is 0.25. Divide the percentage by 100 to convert it into decimal form.