Percentage Calculator – Free Online Maths Tool

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How to Calculate Percentage Step by Step with Formula and Examples

Percentage Calculator – Free Online Tool with Formula, Steps & Examples

Percentage Calculator

What is Percentage Calculator?

A percentage calculator is a handy online maths tool that lets you quickly calculate percentages, percentage increase or decrease, and percentage differences between numbers. It's widely used by students to solve classroom maths, check exam marks, work out shopping discounts, business profits, and much more. With just two numbers, you can instantly find what percent a number is of another, or how much something has grown or reduced in percent.

Formula or Logic Behind Percentage Calculator

The percentage concept is based on expressing a number as parts out of 100, represented by the symbol %. Here are the main percentage formulas used in maths and in this calculator:

Operation	Formula	In Words
Find X% of Y	(X/100) × Y	Multiply the number by the percentage then divide by 100
X is what % of Y?	(X/Y) × 100	Divide part by whole then multiply by 100
Increase Y by X%	Y × (1 + X/100)	Add the percent value to original
Decrease Y by X%	Y × (1 − X/100)	Subtract the percent value from original
Percentage Difference (A,B)	\|A - B\| / [(A+B)/2] × 100	Absolute difference divided by average, then ×100

Common Percentage Calculation Examples

Question	Formula Used	Step-by-Step Solution	Final Answer
What is 10% of 250?	(10/100) × 250	0.10 × 250 = 25	25
Increase 70 by 20%	70 × 1.20	70 + (0.20 × 70) = 70 + 14 = 84	84
25 is what % of 200?	(25/200) × 100	0.125 × 100 = 12.5%	12.5%
Decrease 100 by 5%	100 × 0.95	100 – (0.05 × 100) = 95	95
Percent Difference between 150 and 120	(30/135) × 100	\|150-120\|=30; avg=135; 30/135×100 ≈ 22.2%	22.2%

Steps to Use the Percentage Calculator

Enter the required numbers in the input fields
Select the percentage operation you wish to perform
Click on the 'Calculate' button
Get your instant result with a step-by-step explanation

Why Use Vedantu’s Percentage Calculator?

Vedantu’s percentage calculator is designed for instant and accurate answers, whether you're checking how much you scored in an exam, evaluating discounts, or tackling maths homework. It's easy to use, works seamlessly on mobile and desktop, and trusted by millions of students and educators for CBSE, ICSE, and other curricula. Plus, you get the formulas, methods, and detailed solution steps right on the page.

Real-life Applications of Percentage Calculator

Percentage calculators are used every day, such as:

Calculating your marks as a percentage for report cards and competitive exams
Working out discounts and final prices during sales or online shopping
Measuring percentage increases/decreases in profits, losses, or statistics
Converting fractions and marks to percentages in academic assessments
Financial planning: calculating interest rates, investments, GST, and taxes

This tool streamlines these common maths situations and more, saving you effort and reducing mistakes.

Learn more about percentages and their applications in: Percentage Increase & Decrease, Comparing Quantities using Percentages, Profit & Loss Percentage, Fraction to Percentage Conversion, and Applications of Percentage on Vedantu.com.

FAQs on Percentage Calculator – Free Online Maths Tool

1. What is a percentage calculator?

A percentage calculator is a tool that quickly computes percentages. It simplifies calculations involving parts of a whole, percentage increases or decreases, and more. You input numbers and the calculator provides the answer along with the steps involved.

2. How do I calculate a percentage?

The basic formula is: (Part/Whole) * 100 = Percentage. For example, to find what percentage 5 is of 20, you'd calculate (5/20) * 100 = 25%. A percentage calculator automates this process.

3. What is the formula for percentage increase?

The formula for percentage increase is: [(New Value - Old Value) / Old Value] * 100. For instance, if a value increases from 100 to 120, the percentage increase is [(120 - 100) / 100] * 100 = 20%.

4. How do I calculate percentage decrease?

The formula for percentage decrease mirrors that of increase: [(Old Value - New Value) / Old Value] * 100. If a value drops from 150 to 120, the decrease is [(150 - 120) / 150] * 100 = 20%.

5. What is the percentage difference between two numbers?

The percentage difference calculates the relative difference between two numbers. The formula is: |Number 1 - Number 2| / [(Number 1 + Number 2) / 2] * 100. This shows the percentage difference, irrespective of which is larger.

6. How to use an online percentage calculator?

Most online percentage calculators are user-friendly. Typically, you'll enter the relevant numbers (e.g., the part and the whole, or the initial and final values for percentage change). Select the type of calculation needed (percentage of, increase, decrease, or difference) and click 'Calculate'. The result will appear instantly.

7. What are some real-life applications of percentage calculations?

Percentages are used extensively! Examples include calculating discounts on purchases, determining grades based on test scores, analyzing financial data (profit margins, interest rates), and understanding statistical data in various fields.

8. What percentage is 15 of 60?

To find the percentage, use the formula: (Part/Whole) * 100. So, (15/60) * 100 = 25%. Therefore, 15 is 25% of 60.

9. How do I calculate a percentage increase of 10% on 500?

A 10% increase on 500 is calculated as follows: 500 * (1 + 10/100) = 500 * 1.10 = 550. The increase is 50.

10. What is a percentage decrease of 25% on 200?

To find a 25% decrease on 200, calculate: 200 * (1 - 25/100) = 200 * 0.75 = 150. The decrease is 50.

11. How to calculate percentage of marks obtained?

To calculate the percentage of marks, divide the marks obtained by the total marks possible and multiply by 100. For example, if you scored 45 out of 75, your percentage is (45/75) * 100 = 60%.

12. What is the percentage formula for calculating profit?

Profit percentage is calculated as: (Profit / Cost Price) * 100. Profit is Selling Price minus Cost Price. For instance, if you bought something for 100 and sold it for 120, your profit percentage is (20/100) * 100 = 20%.