Percentage Calculator

Calculate percentages, percentage changes, and more

%
Percentage of
↔
Percentage Change
?
Find Percentage
↑↓
Increase/Decrease

What is 20% of 100?

Calculation Result

20% of 100 is 20

Solution Steps:

1. Convert percentage to decimal: 20% = 20/100 = 0.2
2. Multiply: 0.2 × 100 = 20
3. Result: 20% of 100 is 20
Decimal Value
0.2
Fraction
1/5
Ratio
1:5
Change
+20

Quick Calculations

Calculation History

Date Calculation Result

Percentage Calculator Introduction

The Percentage Calculator helps you perform various percentage calculations including finding percentages, calculating percentage changes, and determining percentage increases or decreases.

How Percentage Calculation Works

Percentage calculations involve converting percentages to decimals and performing arithmetic operations. The calculator follows established mathematical formulas to provide accurate results.

Why Use a Percentage Calculator?

A percentage calculator helps you:

  • Quickly calculate percentages of numbers
  • Determine percentage changes between values
  • Find what percentage one number is of another
  • Calculate increases or decreases by percentages
  • Convert between percentages, decimals, and fractions

Percentage Calculation Types

Percentage Of

  • Find X% of a number
  • Formula: (X/100) × Number
  • Example: 20% of 100 = 20

Percentage Change

  • Calculate % increase or decrease
  • Formula: ((New-Old)/Old) × 100
  • Example: 100 to 120 = 20% increase

Find Percentage

  • What % is X of Y?
  • Formula: (X/Y) × 100
  • Example: 20 is 20% of 100

Increase/Decrease

  • Add or subtract a percentage
  • Formula: Original ± (Original × (X/100))
  • Example: 100 + 20% = 120

Common Percentage Operations

This calculator performs various percentage operations:

  • Percentage Of: Calculates what X% of a number is
  • Percentage Change: Determines the percentage increase or decrease between two values
  • Find Percentage: Calculates what percentage one number is of another
  • Increase/Decrease: Applies a percentage increase or decrease to a value

Percentage Formulas and Methods

The calculator applies fundamental percentage formulas:

  • Percentage of: (Percentage/100) × Number
  • Percentage change: ((New Value - Old Value) / Old Value) × 100
  • Find percentage: (Part / Whole) × 100
  • Increase by percentage: Original + (Original × (Percentage/100))
  • Decrease by percentage: Original - (Original × (Percentage/100))

Tips for Using the Percentage Calculator

  • Use decimal points for precise calculations
  • Select the appropriate calculation type for your needs
  • Use the quick calculation buttons for common percentages
  • Check the solution steps to understand the calculation process
  • Review the additional results for different representations

Limitations of Percentage Calculators

While percentage calculators are useful tools, they have limitations:

  • Results depend on the accuracy of input values
  • Percentage changes can be misleading without context
  • Some complex percentage calculations may require specialized knowledge
  • Proper interpretation requires understanding of percentage concepts