Converting Percent to Decimal
Converting percentages to decimals is essential for mathematical calculations. While percentages are great for communication, decimals are needed for actual computations.
Formula
Decimal = Percentage / 100
Quick Method
Move the decimal point two places to the left and remove the % symbol.
Examples
Example 1: Convert 45% to decimal
45% / 100 = 0.45
Example 2: Convert 8% to decimal
8% / 100 = 0.08
Example 3: Convert 150% to decimal
150% / 100 = 1.50 or 1.5
Common Conversions
- 100% = 1.0
- 50% = 0.5
- 25% = 0.25
- 10% = 0.1
- 5% = 0.05
- 1% = 0.01
- 0.5% = 0.005
Why Convert to Decimal?
Decimals are required for:
- Calculator operations
- Programming and spreadsheets
- Scientific calculations
- Financial formulas
- Statistical analysis
Precision Note
Some percentages result in repeating decimals (like 33.33% = 0.3333...).
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Divide the percentage by 100 or move the decimal point two places left.
25% = 0.25
100% = 1.0
5% = 0.05
200% = 2.0
Yes, negative percentages convert to negative decimals.