Decimal to Percent Converter
Convert decimal numbers to percentages with additional representations
Converting a decimal to a percentage is straightforward: multiply the decimal by 100. The basic formula is:
Percentage = Decimal × 100
This calculator also provides you with the equivalent fraction in its simplest form and the scientific notation representation of the decimal number.
Follow these steps to convert a decimal to a percentage:
- Identify: Start with your decimal number
- Multiply: Multiply the decimal by 100
- Add Symbol: Add the percentage symbol (%) to your answer
Example: Convert 0.75 to a percentage
- Start with 0.75
- 0.75 × 100 = 75
- Add the % symbol: 75%
Here are some commonly used decimal-to-percent conversions:
Simple Decimals
- 0.5 = 50%
- 0.25 = 25%
- 0.75 = 75%
- 0.1 = 10%
- 0.01 = 1%
Recurring Decimals
- 0.333... = 33.33%
- 0.666... = 66.67%
- 0.166... = 16.67%
- 0.142857... = 14.29%
- 0.090909... = 9.09%
Scientific notation is a way of expressing numbers that are very large or very small in a more concise form. The format is:
a × 10^n
Where:
- a is a number greater than or equal to 1 and less than 10
- n is an integer (positive or negative)
Examples:
- 0.0025 = 2.5 × 10^-3
- 250 = 2.5 × 10^2
- 0.00000789 = 7.89 × 10^-6
Why do we use percentages instead of decimals?
Percentages are often easier to understand and compare than decimals. They provide a clear reference point (out of 100) that makes it simpler to grasp proportions and make comparisons.
How do I handle repeating decimals?
For repeating decimals, it's common to round to a specific number of decimal places. In most cases, 2-4 decimal places are sufficient for practical purposes.
What if my decimal is greater than 1?
Decimals greater than 1 will convert to percentages greater than 100%. For example, 1.5 converts to 150%. This is perfectly valid and often used to express growth or increases above a baseline.