How Do You Convert to a Percentage?

To convert a number to a percentage, you multiply it by 100 and add the percent sign (%).

Here's a more detailed explanation:

Percentages are simply a way of expressing a number as a fraction of 100. Therefore, to convert anything to a percentage, you're essentially finding out how many "hundredths" are in that value.

Here's a breakdown of how to convert different types of numbers to percentages:

Converting Decimals to Percentages

1. Multiply the decimal by 100. This shifts the decimal point two places to the right.
2. Add the percent sign (%) to the end.

Example:

• 0.25 -> 0.25 * 100 = 25 -> 25%
• 0.05 -> 0.05 * 100 = 5 -> 5%
• 1.5 -> 1.5 * 100 = 150 -> 150%

Converting Fractions to Percentages

1. Convert the fraction to a decimal. You can do this by dividing the numerator (top number) by the denominator (bottom number).
2. Multiply the resulting decimal by 100.
3. Add the percent sign (%) to the end.

Example:

• 1/2 -> 1 ÷ 2 = 0.5 -> 0.5 * 100 = 50 -> 50%
• 3/4 -> 3 ÷ 4 = 0.75 -> 0.75 * 100 = 75 -> 75%

Converting Ratios to Percentages

1. Represent the ratio as a fraction. For example, a ratio of 1:4 would be represented as the fraction 1/4.
2. Convert the fraction to a decimal. (Divide the numerator by the denominator).
3. Multiply the decimal by 100.
4. Add the percent sign (%) to the end.

Example:

• Ratio of 1:5 -> 1/5 -> 1 ÷ 5 = 0.2 -> 0.2 * 100 = 20 -> 20%

Table Summary: Conversion Methods

Conversion Type	Method	Example
Decimal	Multiply by 100, add "%"	0.65 -> 65%
Fraction	Convert to decimal, multiply by 100, add "%"	1/4 -> 0.25 -> 25%
Ratio	Convert to fraction, then to decimal, multiply by 100, add "%"	1:2 -> 1/2 -> 0.5 -> 50%