Here is the free and easy to use percentage to decimal converter:
Percent to Decimal Converter: A Complete Guide
Understanding how to convert percentages to decimals is a vital skill in finance, statistics, and everyday calculations like tipping or discounts. Whether you are a student or a professional, mastering this simple conversion makes math much easier.
How to Convert Percent to Decimal
Converting a percentage to a decimal is straightforward because “percent” means “per 100.” Essentially, you are dividing the number by 100.
Here is the core formula:
DECIMAL = PERCENTAGE / 100
Quick Trick: Simply remove the % sign and move the decimal point two places to the left.
Examples of Conversion
- 1%
- Remove %: 1
- Divide by 100: $1 \div 100 = \mathbf{0.01}$
- 5%
- Remove %: 5
- Divide by 100: $5 \div 100 = \mathbf{0.05}$
- 10%
- Remove %: 10
- Divide by 100: $10 \div 100 = \mathbf{0.1}$
- 35%
- Remove %: 35
- Divide by 100: $35 \div 100 = \mathbf{0.35}$
- 50%
- Remove %: 50
- Divide by 100: $50 \div 100 = \mathbf{0.5}$
- 100%
- Remove %: 100
- Divide by 100: $100 \div 100 = \mathbf{1}$
- 230%
- Remove %: 230
- Divide by 100: $230 \div 100 = \mathbf{2.3}$
Percent to Decimal Conversion Table
For quick reference, here is a table of common percentage-to-decimal conversions:
| Percentage | Decimal | Fraction |
| 1% | 0.01 | 1/100 |
| 5% | 0.05 | 1/20 |
| 10% | 0.1 | 1/10 |
| 25% | 0.25 | 1/4 |
| 50% | 0.5 | 1/2 |
| 75% | 0.75 | 3/4 |
| 100% | 1.0 | 1 |
| 150% | 1.5 | 3/2 |
Frequently Asked Questions (FAQs)
Q: How do I convert a percent to a decimal without a calculator?
A: It’s easy! Just take the number in the percentage, remove the % sign, and move the decimal point two places to the left. If there is no visible decimal point, assume it is at the end of the number (e.g., 50 is 50.0).
Q: Why do we divide by 100?
A: The word “percent” comes from the Latin per centum, which literally means “by the hundred.” So, 50% means “50 parts out of 100,” which is mathematically $50/100$ or 0.5.
Q: How do I convert a decimal back to a percent?
A: To reverse the process, multiply the decimal by 100 and add the % sign. For example, $0.25 \times 100 = 25\%$.
Recommended Resources
- Khan Academy – Percents and Decimals: Excellent video tutorials explaining the relationship between decimals and percentages.
- Math is Fun – Decimals, Fractions and Percentages: A fun, interactive guide to understanding how these three math concepts relate.
- CalculatorSoup – Decimal to Percent Calculator: A handy tool if you want to double-check your manual conversions or handle complex numbers.
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