Percent to Decimal Converter – Percentage Calculator
Convert percentages to decimal format
Table of Contents
How to Use
- Enter the percentage value (e.g., 25, 50.5, 100)
- Click calculate to see the decimal equivalent
- View the simplified fraction representation
- Use the conversion formula to understand the calculation
Understanding Percentages and Decimals
A percentage is a way of expressing a number as a fraction of 100. The word 'percent' literally means 'per hundred'. To convert a percentage to a decimal, simply divide by 100. For example, 25% = 25 ÷ 100 = 0.25.
Decimals are another way to represent parts of a whole. They're particularly useful in calculations because they follow the same arithmetic rules as whole numbers.
Common Conversion Examples
| Percent | Decimal | Fraction |
|---|---|---|
| 1% | 0.01 | 1/100 |
| 10% | 0.1 | 1/10 |
| 25% | 0.25 | 1/4 |
| 50% | 0.5 | 1/2 |
| 75% | 0.75 | 3/4 |
| 100% | 1.0 | 1/1 |
| 150% | 1.5 | 3/2 |
| 200% | 2.0 | 2/1 |
How to Convert Percent to Decimal
Follow these simple steps:
- Remove the percent sign (%) from the number
- Divide the number by 100
- The result is your decimal
- Example: 45% → 45 ÷ 100 = 0.45
Quick shortcut: Move the decimal point two places to the left. For 45%, move the decimal in 45.0 two places left to get 0.45.
Practical Applications
- Financial calculations - interest rates, discounts, tax calculations
- Academic grades and test scores
- Statistical analysis and data reporting
- Business metrics and KPI tracking
- Scientific measurements and error margins
- Programming and data processing
- Cooking and recipe scaling
Converting Decimal to Percent
To convert a decimal back to a percentage, multiply by 100 and add the % sign. For example: 0.75 × 100 = 75%.
Frequently Asked Questions
- How do I convert percent to decimal?
- Divide the percentage by 100. For example, 50% ÷ 100 = 0.50 or simply 0.5. You can also move the decimal point two places to the left.
- What is 100% as a decimal?
- 100% equals 1.0 as a decimal. This represents a complete whole or one full unit.
- Can percentages be greater than 100%?
- Yes! Percentages can exceed 100%. For example, 150% = 1.5 as a decimal, representing one and a half times the original value. This is common in growth rates and profit margins.
- How do I convert decimal percentages like 12.5%?
- Use the same method: divide by 100. So 12.5% ÷ 100 = 0.125. The decimal point simply moves two places to the left.
- Why is it important to convert percent to decimal?
- Decimals are essential for mathematical calculations. Most formulas and programming languages require decimal format rather than percentages. It's also the standard format in scientific and financial calculations.