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Decimal to Percent Converter — Convert Decimals & Percentages

Convert between decimal and percentage formats

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Conversion Type

📐Conversion Formulas

Decimal to Percent
Percent = Decimal × 100
Example: 0.75 × 100 = 75%
Percent to Decimal
Decimal = Percent ÷ 100
Example: 75 ÷ 100 = 0.75

📊Common Decimal-Percent Conversions

0.01 = 1%
0.1 = 10%
0.25 = 25%
0.5 = 50%
0.75 = 75%
1.0 = 100%
1.5 = 150%
2.0 = 200%

Decimal to Percent Converter: Convert Between Decimals and Percentages

Table of Contents - Decimal to Percent

How to Use This Calculator - Decimal to Percent

Select your conversion type: Decimal → Percent or Percent → Decimal

Enter your value in the input field

Click "Convert" to see the result

The calculator shows:

  • The converted value
  • Step-by-step calculation
  • Formula used

Understanding Decimal-Percent Conversion

Decimals and percentages are two ways of expressing the same value. "Percent" means "per hundred," so converting between them involves multiplying or dividing by 100.

Key Concept:

  • 1.0 (decimal) = 100% (percent)
  • 0.01 (decimal) = 1% (percent)
  • The decimal point moves two places

How to Convert Manually

Decimal to Percent:

  1. Multiply the decimal by 100
  2. Add the % symbol Example: 0.85 × 100 = 85%

Percent to Decimal:

  1. Divide the percentage by 100
  2. Remove the % symbol Example: 65% ÷ 100 = 0.65

Shortcut: Move the decimal point two places:

  • To convert to percent: move right (0.75 → 75%)
  • To convert to decimal: move left (75% → 0.75)

Real-World Applications

Finance:

  • Interest rates (5% = 0.05)
  • Investment returns
  • Tax rates
  • Discount calculations

Statistics:

  • Probability (0.25 = 25% chance)
  • Survey results
  • Data analysis

Science:

  • Concentration solutions
  • Efficiency ratings
  • Error margins

Education:

  • Test scores
  • Grade calculations
  • Performance metrics

Common Conversions

Basic Percentages:

  • 1% = 0.01
  • 10% = 0.1
  • 25% = 0.25
  • 50% = 0.5
  • 75% = 0.75
  • 100% = 1.0

Over 100%:

  • 150% = 1.5
  • 200% = 2.0
  • 250% = 2.5

Small Percentages:

  • 0.1% = 0.001
  • 0.5% = 0.005
  • 5% = 0.05

Related Topics

How This Calculator Works

For decimal to percent: multiplies the input by 100 For percent to decimal: divides the input by 100

The calculator handles both directions of conversion with a simple toggle.

FAQs

Q: Why do we multiply by 100 to get a percentage? A: "Percent" means "per hundred." Multiplying by 100 expresses the decimal as parts per hundred.

Q: Can percentages be greater than 100%? A: Yes! Values greater than 1.0 convert to percentages over 100%. For example, 2.5 = 250%.

Q: How do I handle repeating decimals? A: Round to a reasonable number of decimal places. For example, 0.333... ≈ 33.33%.

Q: Is 0.50 the same as 50%? A: Yes, exactly. 0.50 × 100 = 50%.

Q: What about negative values? A: The conversion works the same way. -0.25 = -25%, and -40% = -0.40.

Q: How many decimal places should I use? A: It depends on precision needs. Financial calculations often use 2-4 decimal places; scientific calculations may need more.