Percentage Calculator

Calculate percentage increase, decrease, difference, and percentage of numbers. Perfect for math problems, financial calculations, and data analysis.

Select Calculation Type

Calculation Type Percentage of Number
Choose the type of percentage calculation you need
Percentage 20%
%
0% 125% 250% 375% 500%
Enter the percentage value (0% to 500%)
Number 500
1 2,500 5,000 7,500 10,000
Enter the base number (1 to 10,000)
Common Percentages Quick Select
Quickly select common percentage values
Decimal Precision 2 decimals
Select the number of decimal places for results
20% of 500 is:
100
20% × 500 = 100

Calculation Details

1

Formula

Percentage × Number = Result

2

Calculation

20% × 500 = (20/100) × 500 = 100

3

Step-by-Step

Convert 20% to decimal: 20 ÷ 100 = 0.2
Multiply: 0.2 × 500 = 100

20%
Percentage
500
Base Value
100
Result

Proportion Visualization

20% (100)
100% (500)
Percentage Part: 100
Remaining: 400

Common Percentages of 500

Percentage Value Fraction Decimal

Real-World Examples

Shopping Discount

20% off ₹500 = ₹100 savings
Final price: ₹400

Sales Growth

If sales increase by 20% from ₹500:
New sales: ₹600 (+₹100)

Exam Score

20% of total 500 marks:
Marks obtained: 100
Percentage: 20%

Tip Calculation

20% tip on ₹500 bill:
Tip amount: ₹100
Total: ₹600

Quick Calculations

Types of Percentage Calculations

Percentage of a Number

Find what is X% of a given number Y.

Formula: Result = (X ÷ 100) × Y
Example: What is 20% of 500? = 100

Find Percentage

Find what percentage X is of Y.

Formula: Percentage = (X ÷ Y) × 100
Example: 100 is what % of 500? = 20%

Percentage Increase

Increase a number by a certain percentage.

Formula: New Value = Original × (1 + (X ÷ 100))
Example: Increase 500 by 20% = 600

Percentage Decrease

Decrease a number by a certain percentage.

Formula: New Value = Original × (1 - (X ÷ 100))
Example: Decrease 500 by 20% = 400

About Percentage Calculator

The Percentage Calculator helps you solve various percentage problems including finding percentage of numbers, calculating percentage increase/decrease, and determining percentage differences. Essential for math, finance, shopping, and data analysis.

How Percentage Calculations Work

1

Percentage of a Number

Formula: Result = (Percentage ÷ 100) × Number

Example: 20% of 500 = (20 ÷ 100) × 500 = 100

2

Find Percentage

Formula: Percentage = (Part ÷ Whole) × 100

Example: 100 is (100 ÷ 500) × 100 = 20% of 500

3

Percentage Increase

Formula: New Value = Original × (1 + (Increase % ÷ 100))

Example: 500 increased by 20% = 500 × 1.20 = 600

4

Percentage Decrease

Formula: New Value = Original × (1 - (Decrease % ÷ 100))

Example: 500 decreased by 20% = 500 × 0.80 = 400

Common Percentage Conversions

Percentage Fraction Decimal Ratio
1% 1/100 0.01 1:100
5% 1/20 0.05 1:20
10% 1/10 0.10 1:10
20% 1/5 0.20 1:5
25% 1/4 0.25 1:4
50% 1/2 0.50 1:2
75% 3/4 0.75 3:4
100% 1/1 1.00 1:1

Practical Applications

Shopping & Discounts

  • Calculate discount amounts
  • Compare sale prices
  • Calculate final prices
  • Determine savings percentage

Business & Finance

  • Calculate profit/loss percentages
  • Determine growth rates
  • Calculate tax amounts
  • Analyze market share

Education & Grades

  • Calculate test scores
  • Determine grade percentages
  • Calculate weighted averages
  • Analyze performance

Statistics & Data

  • Calculate proportions
  • Analyze survey results
  • Determine success rates
  • Compare data sets

Percentage Calculation Examples

Calculation Type Input Values Formula Result
Percentage of Number 25% of 200 (25 ÷ 100) × 200 50
Find Percentage 40 is what % of 200? (40 ÷ 200) × 100 20%
Percentage Increase Increase 150 by 30% 150 × (1 + 0.30) 195
Percentage Decrease Decrease 150 by 30% 150 × (1 - 0.30) 105
Percentage Difference Diff between 120 & 150 ((150-120) ÷ 120) × 100 25%

Quick Percentage Tips

  • 10% Trick: Move decimal one place left for 10%
  • 50% Trick: Halve the number for 50%
  • 25% Trick: Halve twice for 25%
  • 1% Trick: Move decimal two places left for 1%
  • Reverse Calculation: To find original from increased value, divide by (1 + percentage)
  • Percentage Points: Different from percentages (10% to 15% is 5 percentage points, but 50% increase)
Note: Percentages represent parts per hundred. Always convert percentage to decimal before calculation by dividing by 100. For percentage increase/decrease, remember to add/subtract from 1 before multiplying.

How to calculate percentage of a number?

To calculate percentage of a number: Multiply the number by the percentage (in decimal form). Example: 20% of 500 = 500 × 0.20 = 100.

How to calculate percentage increase?

To calculate percentage increase: Multiply the original number by (1 + percentage in decimal). Example: Increase 500 by 20% = 500 × 1.20 = 600.

How to find what percentage one number is of another?

Divide the first number by the second number, then multiply by 100. Example: 100 is what % of 500? = (100 ÷ 500) × 100 = 20%.

What is the difference between percentage and percentage points?

Percentage points refer to the absolute difference between two percentages. Example: Going from 10% to 15% is a 5 percentage point increase, but a 50% relative increase.

How to calculate percentage decrease?

To calculate percentage decrease: Multiply the original number by (1 - percentage in decimal). Example: Decrease 500 by 20% = 500 × 0.80 = 400.

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Discount Calculator