Decimal to Percent Calculator | Percent to Decimal

Convert decimal to percent & percent to decimal instantly. 0.75=75%, 2%=0.02, 2/3=0.6667=66.67%. Includes formulas, examples & conversion tables.

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

Enter decimal (e.g., 0.75, 0.5, 1.25)

Conversion Result

Decimal
0.75
As Percent
75%
As Fraction
3/4

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

Enter percentage (e.g., 2, 75, 125)

Conversion Result

Percentage
2%
As Decimal
0.02
As Fraction
1/50

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

The top number
The bottom number

Conversion Result

Fraction
2/3
As Decimal
0.6667
As Percent
66.67%

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:

Percent = Decimal × 100

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:

Decimal = Percent / 100

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

How do you convert decimal to percent?
To convert decimal to percent: multiply by 100 and add % symbol. Formula: Percent = Decimal × 100. Example: 0.75 to percent = 0.75 × 100 = 75%. Quick method: move decimal point 2 places right. 0.75 → 75. → 75%. Works for any decimal: 0.5 = 50%, 0.25 = 25%, 1.5 = 150%. Remember: multiplying by 100 moves decimal 2 right. Decimals less than 1 give percentages under 100%. Decimals greater than 1 give percentages over 100%. Always add % symbol to final answer.
How do you convert percent to decimal?
To convert percent to decimal: divide by 100. Formula: Decimal = Percent / 100. Example: 2% to decimal = 2 ÷ 100 = 0.02. Quick method: remove % and move decimal point 2 places left. 2% → 2. → 0.02. More examples: 75% = 0.75, 50% = 0.5, 125% = 1.25. Remember: dividing by 100 moves decimal 2 left. Percentages under 100% give decimals less than 1. Percentages over 100% give decimals greater than 1. Remove % symbol before calculating.
What is 2/3 as a decimal and percent?
2/3 as decimal: 0.6667 (rounded) or 0.6̅ (exact with repeating 6). 2/3 as percent: 66.67% or exactly 66⅔%. Calculation: 2 ÷ 3 = 0.666666... (infinite repeating 6s). Then 0.6667 × 100 = 66.67%. Summary: 2/3 = 0.6667 = 66.67%. Real-world: Two-thirds of 100 items = 67 items (rounded). Common uses: splitting costs among 3 people (each pays ~67%), test scores, statistics. Note: The 6s repeat forever, so we round to 0.6667 for practical use.
What is 2 percent as a decimal?
2 percent as a decimal is 0.02. Calculation: 2% = 2 ÷ 100 = 0.02. Quick method: Move decimal in 2.0 two places left → 0.02. Verification: 0.02 × 100 = 2%. Real-world uses: 2% interest rate = 0.02 in calculations, 2% commission = multiply by 0.02, 2% tax = multiply amount by 0.02. Example: 2% of $500 = 500 × 0.02 = $10. Remember: Small percentages (under 10%) give small decimals (under 0.1). 2% is same as 2/100 or 1/50.
Why do you multiply by 100 to get percent?
Multiply by 100 because "percent" means "per hundred" (Latin: per centum). A percentage is a number expressed as a fraction of 100. Example: 0.75 = 75/100 = 75 per hundred = 75%. The ×100 converts the decimal portion to how many hundredths it represents. 0.5 = 50/100 = 50%. Think: 0.75 is 75 hundredths, which equals 75%. Similarly, divide by 100 to reverse: 75% = 75 per hundred = 75/100 = 0.75. The factor of 100 comes directly from the definition of percentage as parts per hundred.
Can decimals be greater than 100%?
Yes! Decimals greater than 1.0 convert to percentages over 100%. Examples: 1.25 = 125%, 1.5 = 150%, 2.0 = 200%. This represents amounts greater than the whole. Real-world: 150% increase means 1.5 times original (multiply by 1.5). Salary at 200% of base = 2.0 × base salary. Stock gained 125% = now worth 1.25 × original. Growth of 175% = 1.75 times starting value. Percentages over 100% are common in growth rates, returns on investment, comparisons exceeding baseline, and multipliers. Any decimal ≥ 1.0 gives ≥ 100%.
How do you convert fractions to decimal and percent?
Step 1: Fraction to decimal - divide numerator by denominator. Example: 3/4 = 3 ÷ 4 = 0.75. Step 2: Decimal to percent - multiply by 100. 0.75 × 100 = 75%. Result: 3/4 = 0.75 = 75%. Another example: 2/3 = 2 ÷ 3 = 0.6667 = 66.67%. 1/8 = 0.125 = 12.5%. Quick check: Verify by converting back. 75% ÷ 100 = 0.75 = 3/4 ✓. Some fractions give repeating decimals (1/3 = 0.333...), round as needed. All three forms represent the same value, just different notations.

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