Percentage Converter
Convert between percentage, decimal, fraction, and ratio formats instantly. Perfect for students, teachers, and professionals.
Enter Value to Convert
Common Percentage Conversions
| Percentage | Decimal | Fraction | Ratio |
|---|
Calculation Steps
Percentage to Decimal
Divide the percentage by 100
25% ÷ 100 = 0.25
Decimal to Fraction
Write decimal as fraction and simplify
0.25 = 25/100 = 1/4
Fraction to Ratio
Convert fraction to ratio format
1/4 = 1:4
Quick Reference Guide
Percentage Formula
Percentage = (Part / Whole) × 100
Decimal to %
Multiply decimal by 100 and add % sign
Fraction to %
Divide numerator by denominator and multiply by 100
Ratio to %
Divide first part by sum of both parts and multiply by 100
About Percentage Conversion
The Percentage Converter helps you convert between different numerical formats including percentage, decimal, fraction, and ratio. Understanding these conversions is essential for mathematics, finance, and everyday calculations.
Basic Conversion Formulas
Percentage to Decimal
Decimal to Percentage
Fraction to Percentage
Ratio to Percentage
Common Percentage Equivalents
| Percentage | Decimal | Fraction | Ratio | Usage |
|---|---|---|---|---|
| 10% | 0.10 | 1/10 | 1:10 | Discounts |
| 25% | 0.25 | 1/4 | 1:4 | Quarter |
| 33.33% | 0.333 | 1/3 | 1:3 | Third |
| 50% | 0.50 | 1/2 | 1:2 | Half |
| 66.67% | 0.667 | 2/3 | 2:3 | Two-thirds |
| 75% | 0.75 | 3/4 | 3:4 | Three-quarters |
| 100% | 1.00 | 1/1 | 1:1 | Whole |
Real-World Applications
Shopping & Discounts
Calculate sale prices: 25% off = pay 75% of original price = 0.75 as decimal
Financial Calculations
Interest rates: 5% annual interest = 0.05 decimal = 1/20 fraction
Academic Grading
Test scores: 85% = 0.85 decimal = 17/20 fraction
Statistics & Data
Survey results: 60% approval = 0.6 decimal = 3/5 fraction = 3:2 ratio
Tips for Percentage Calculations
- Mental Math: To find 10%, divide by 10. To find 5%, find 10% and halve it.
- Decimal Conversion: Move decimal point two places left to convert % to decimal.
- Fraction Simplification: Always reduce fractions to lowest terms for clarity.
- Ratio Understanding: Ratio 1:4 means "1 part out of every 5 total parts".
- Percentage Increase: To increase by 20%, multiply by 1.20 (100% + 20%).
- Percentage Decrease: To decrease by 15%, multiply by 0.85 (100% - 15%).
- Reverse Calculation: If 25% is 50, the whole is 50 ÷ 0.25 = 200.