Percentage Calculator: Quick & Accurate % Online
Fast, accurate Percentage Calculator for percent increase, percent decrease, difference, reverse percentage, and all % calculations in one easy tool.
Share This Calculator
What Is This Calculator?
A Percentage Calculator is an online tool that helps you quickly compute any type of percentage-related value, such as finding a percentage of a number, calculating percent increase or decrease, comparing two values, or reversing a percentage to get the original amount. It eliminates manual calculations and provides instant, accurate results for students, professionals, shoppers, and anyone dealing with numbers in daily life.
Basic Formula
Percentage = (Part / Whole) × 100
Understanding Percentage Concepts
Percentages are everywhere: discounts, marks, profits, taxes, salary raises, interest rates, analytics, and statistics. This section explains each concept clearly and simply.
What Is a Percentage?
A percentage (%) expresses a number as a part of 100. It answers: How much out of 100?
If a student scores 45 out of 60, the percentage is: (45/60) × 100 = 75%
Percentages help compare values on a uniform scale.
The Basic Percentage Formula
The core formula behind all percentage calculations is:
Value = (Percentage / 100) × Total
20% of 200 = (20/100) × 200 = 40
What Is Percentage Increase?
Percentage increase shows how much a value has grown relative to the original number.
Percentage Increase = ((New Value - Original Value) / Original Value) × 100
A salary goes from ₹30,000 to ₹36,000: ((36,000 - 30,000) / 30,000) × 100 = 20%
What Is Percentage Decrease?
Percentage decrease shows how much a value has reduced relative to the original.
Percentage Decrease = ((Original Value - New Value) / Original Value) × 100
A product price drops from $50 to $40: ((50 - 40) / 50) × 100 = 20%
What Is Percentage Difference?
Percentage difference compares two values without choosing one as the base.
Percentage Difference = (|A - B| / ((A + B) / 2)) × 100
Comparing 80 and 100: (20 / 90) × 100 ≈ 22.22%
Used in statistics, analytics, and scientific measurements.
How to Reverse a Percentage
Reverse percentage finds the original value before applying a percentage.
Original Value = Final Value / (1 + (Percentage / 100))
If 120 is 20% more than the original: 120 / 1.20 = 100
Real-Life Usage of Percentages
Percentages are essential in:
- Finance: interest rates, tax, investment growth
- Shopping: discounts, savings, offers
- Education: exam scores, grade calculations
- Business: profit/loss, revenue change
- Statistics: data comparison, growth metrics
- Healthcare: dosage percentages, body measurements
Percentages simplify numerical comparisons, making them one of the most universal mathematical tools.
How to Use the Percentage Calculator (Step-by-Step Guide)
Follow these simple steps depending on your calculation mode:
- Choose a tab from the calculator options (e.g., 'What is X% of Y?', '% Increase', or 'Reverse %').
- Enter the required values in the input fields.
- The calculator instantly processes your inputs and gives a clear final answer.
- View the formula breakdown below the result to understand how the answer was derived.
- If needed, switch to another tab to perform a different percentage-related calculation.
The tool is designed to be intuitive for everyone, from school children to working professionals.
Example Scenarios
1. Salary Increase Example
Your monthly salary increases from $2,500 to $3,000.
Percentage increase: ((3000 - 2500) / 2500) × 100 = 20%
So, your salary increased by 20%.
2. Shopping Discount Example
A jacket originally costs $80 and has a 35% discount.
Discount amount: (35/100) × 80 = 28
Final price: 80 - 28 = 52
You pay $52 after discount.
3. Tax Percentage Example
A product priced at ₹2,000 has an 18% GST.
GST amount: (18/100) × 2000 = 360
Final cost: 2000 + 360 = 2360
Total payable: ₹2,360
4. Student Marks Example
A student scores 72 out of 90.
Percentage: (72/90) × 100 = 80%
The student scored 80%.
Formulas
Basic Percentage Formula
Percentage = (Part / Total) × 100
Find X% of Y
Value = (X / 100) × Y
Percentage Increase
(New - Original) / Original × 100
Percentage Decrease
(Original - New) / Original × 100
Percentage Difference
|A - B| / ((A + B) / 2) × 100
Reverse Percentage
Original Value = Final Value / (1 ± (Percentage / 100))
Use + for increase and - for decrease.
Final Value After % Change
Final = Initial × (1 ± Percentage / 100)
Interactive Mini Cheat-Sheet
| % | Decimal | Fraction |
|---|---|---|
| 5% | 0.05 | 1/20 |
| 10% | 0.10 | 1/10 |
| 12.5% | 0.125 | 1/8 |
| 25% | 0.25 | 1/4 |
| 50% | 0.50 | 1/2 |
| 75% | 0.75 | 3/4 |
| 100% | 1.00 | 1 |
Quick Tips for Percentage Calculations
- To find 10% of any number, simply move the decimal point one place to the left. Example: 10% of 250 = 25
- To find 50%, divide the number by 2. It's the fastest mental math shortcut.
- To calculate percentage increase: subtract original from new, divide by original, then multiply by 100.
- To calculate percentage decrease: subtract new from original, divide by original, then multiply by 100.
- When comparing two values, percentage difference uses the average of both values as the base.
- Reverse percentage requires dividing, not subtracting. If 120 is 20% more, original = 120 ÷ 1.20 = 100
Conclusion
The Percentage Calculator is an essential tool for anyone dealing with numbers in everyday life. Whether you're calculating discounts while shopping, analyzing financial data, tracking exam scores, or planning budgets, this calculator simplifies complex percentage operations into instant, accurate results.
By understanding the formulas and concepts behind percentage calculations, you gain valuable mathematical literacy that applies across education, finance, business, and personal decision-making. Bookmark this tool and use it whenever you need quick, reliable percentage calculations.
Frequently Asked Questions
Use Other Education Category Calculators
Explore more Education calculators to help you make informed decisions
View All Education Calculators
Amit Kulkarni
Founder & Editor-in-Chief
Software engineer with 7 years of experience building accurate, reliable calculators. Committed to providing expert-verified tools for finance, health, education, and utilities.