Ratio to Percent Calculator

Enter a ratio to quickly convert it into percentage form.

Convert Ratios to Percentages

:
Result

How to Convert a Ratio to a Percentage?

Converting a ratio to a percentage is a simple process. A percentage expresses a number as a value per one hundred, and to convert a ratio, we follow this formula:

Conversion Formula

If the ratio is \( a:b \), the corresponding percentage is: \( \text{Percentage} = \left(\frac{a}{b}\right) \times 100\% \)

Steps to Follow

  1. Identify the ratio: First, identify the ratio \( a:b \).
  2. Calculate the percentage: Use the formula above, divide \( a \) by \( b \), and then multiply by 100%.

Examples

Example 1: Convert the ratio 3:2 to a percentage.

Solution:

1. Identify the ratio:

\( 3:2 \)

2. Calculate the percentage:

\( \left(\frac{3}{2}\right) \times 100\% = 150\% \)

Result: The ratio 3:2 as a percentage is 150%.

Example 2: Convert the ratio 7:8 to a percentage.

Solution:

1. Identify the ratio:

\( 7:8 \)

2. Calculate the percentage:

\( \left(\frac{7}{8}\right) \times 100\% = 87.5\% \)

Result: The ratio 7:8 as a percentage is 87.5%.

Example 3: Convert the ratio 5:5 to a percentage.

Solution:

1. Identify the ratio:

\( 5:5 \)

2. Calculate the percentage:

\( \left(\frac{5}{5}\right) \times 100\% = 100\% \)

Result: Calculate the percentage: