Decimal to Percent & Percent to Decimal Calculator
Convert between decimals and percentages instantly with this bidirectional calculator. Transform decimals like 0.75 to percentages (75%), convert percentages like 2% to decimals (0.02), or calculate both decimal and percent forms of fractions (like 2/3 = 0.6667 = 66.67%). This comprehensive tool handles all decimal-to-percent and percent-to-decimal conversions with step-by-step explanations, formulas, and conversion tables for students, professionals, and everyday calculations.
🔢 Decimal to Percent Converter
Convert decimal numbers to percentages
Conversion Result
Step-by-Step Conversion
| Step | Calculation |
| Formula | Percent = Decimal × 100 |
| Decimal Value | 0.75 |
| Multiply by 100 | 0.75 × 100 |
| Result | 75% |
📊 Percent to Decimal Converter
Convert percentages to decimal numbers
Conversion Result
Step-by-Step Conversion
| Step | Calculation |
| Formula | Decimal = Percent / 100 |
| Percentage Value | 2% |
| Divide by 100 | 2 / 100 |
| Result | 0.02 |
🔄 Fraction to Decimal & Percent
Convert fractions to both forms
Conversion Result
Complete Conversion
| Format | Value |
| Original Fraction | 2/3 |
| Decimal Form | 0.6667 |
| Percent Form | 66.67% |
| Calculation | 2 ÷ 3 = 0.6667 = 66.67% |
How to Convert Decimal to Percent
Converting decimals to percentages is one of the most fundamental mathematical operations. The conversion is straightforward: multiply the decimal by 100 and add the percent symbol.
Decimal to Percent Formula:
Alternative (Move Decimal Point):
Move decimal point 2 places to the right and add % symbol
Example 1: Convert 0.75 to percent
Method 1 - Multiplication:
Step 1: Take the decimal = 0.75
Step 2: Multiply by 100 = 0.75 × 100 = 75
Step 3: Add % symbol = 75%
Answer: 0.75 = 75%
Method 2 - Move Decimal:
0.75 → Move point 2 right → 75. → 75%
Example 2: Convert 0.5 to percent
Step 1: 0.5 × 100 = 50
Step 2: Add % = 50%
Answer: 0.5 = 50%
Verification: Half (0.5) equals fifty percent (50%)
Example 3: Convert 1.25 to percent
Step 1: 1.25 × 100 = 125
Step 2: Add % = 125%
Answer: 1.25 = 125%
Note: Values greater than 1.0 convert to percentages over 100%
How to Convert Percent to Decimal
Converting percentages to decimals is the reverse operation: divide the percentage by 100 or move the decimal point two places to the left.
Percent to Decimal Formula:
Alternative (Move Decimal Point):
Remove % symbol and move decimal point 2 places to the left
Example 1: Convert 2% to decimal (2 percent as a decimal)
Method 1 - Division:
Step 1: Take the percentage = 2%
Step 2: Remove % symbol = 2
Step 3: Divide by 100 = 2 ÷ 100 = 0.02
Answer: 2% = 0.02
Method 2 - Move Decimal:
2% → 2. → Move point 2 left → 0.02
Example 2: Convert 75% to decimal
Step 1: 75 ÷ 100 = 0.75
Answer: 75% = 0.75
Quick check: Move decimal in 75. two places left → 0.75
Example 3: Convert 125% to decimal
Step 1: 125 ÷ 100 = 1.25
Answer: 125% = 1.25
Note: Percentages over 100% convert to decimals greater than 1.0
2/3 as a Decimal and Percent
The fraction 2/3 is one of the most commonly searched conversions. Here's how to convert it to both decimal and percent forms:
Converting 2/3 to Decimal and Percent:
Step 1 - Fraction to Decimal:
Divide numerator by denominator: 2 ÷ 3 = 0.666666... (repeating)
As Decimal: 0.6667 (rounded to 4 decimals)
Exact: 0.6̅ (bar over 6 indicates repeating)
Step 2 - Decimal to Percent:
Multiply by 100: 0.6667 × 100 = 66.67%
As Percent: 66.67% (or exactly 66⅔%)
Summary:
2/3 = 0.6667 = 66.67%
Real-world: Two-thirds of something equals approximately 67%
Complete Decimal to Percent Conversion Table
| Decimal | Percent | Fraction | Common Use |
|---|---|---|---|
| 0.01 | 1% | 1/100 | One percent |
| 0.02 | 2% | 1/50 | Tax rates |
| 0.05 | 5% | 1/20 | Discounts |
| 0.10 | 10% | 1/10 | Tips, taxes |
| 0.25 | 25% | 1/4 | Quarter |
| 0.3333 | 33.33% | 1/3 | One-third |
| 0.50 | 50% | 1/2 | Half |
| 0.6667 | 66.67% | 2/3 | Two-thirds |
| 0.75 | 75% | 3/4 | Three-quarters |
| 1.00 | 100% | 1/1 | Whole/complete |
| 1.25 | 125% | 5/4 | Above 100% |
| 1.50 | 150% | 3/2 | One and a half |
Quick Conversion Tips & Shortcuts
Mental Math for Common Decimals
- 0.1 → 10%: One decimal place = add zero and %
- 0.5 → 50%: Half always equals 50%
- 0.25 → 25%: Quarter equals 25%
- 0.75 → 75%: Three-quarters equals 75%
- 1.0 → 100%: Whole number 1 equals 100%
Mental Math for Common Percentages
- 10% → 0.1: Remove % and move decimal 1 left
- 50% → 0.5: Half of 100 is 50, so 0.5
- 100% → 1.0: Percent = 100 means decimal = 1
- 1% → 0.01: Move decimal 2 places left
- 5% → 0.05: Think: 5/100 = 0.05
Decimal Point Movement Rules
Decimal to Percent (Move Right):
Move decimal point 2 places to the RIGHT and add %
- 0.25 → 25. → 25%
- 0.075 → 7.5 → 7.5%
- 1.5 → 150. → 150%
Percent to Decimal (Move Left):
Remove % and move decimal point 2 places to the LEFT
- 25% → 25. → 0.25 → 0.25
- 7.5% → 7.5 → 0.075 → 0.075
- 150% → 150. → 1.50 → 1.50
Common Fractions: Decimal and Percent Forms
| Fraction | Decimal | Percent | Description |
|---|---|---|---|
| 1/2 | 0.5 | 50% | Half |
| 1/3 | 0.3333 | 33.33% | One-third |
| 2/3 | 0.6667 | 66.67% | Two-thirds |
| 1/4 | 0.25 | 25% | Quarter |
| 3/4 | 0.75 | 75% | Three-quarters |
| 1/5 | 0.2 | 20% | Fifth |
| 1/8 | 0.125 | 12.5% | Eighth |
| 1/10 | 0.1 | 10% | Tenth |
Frequently Asked Questions
Real-World Applications
Finance & Business
- Interest Rates: 5% APR = 0.05 in calculations
- Commission: 2.5% commission = multiply by 0.025
- Tax Calculations: 8.5% tax = multiply by 0.085
- Discounts: 0.25 off = 25% discount
Academic & Statistics
- Test Scores: 0.85 score = 85% grade
- Probability: 0.75 probability = 75% chance
- Statistical Data: 0.6667 of sample = 66.67%
- Growth Rates: 1.15 growth factor = 115% or 15% increase