Ratio to Percentage Calculator

How to Convert a Ratio to a Percentage

Converting a ratio to a percentage is a fundamental mathematical operation that helps us understand the relative size of quantities in terms of 100. Here's a comprehensive guide on how to perform this conversion:

Ratio to Percentage Formula

The formula for converting a ratio to a percentage is:

\[ \text{Percentage} = \frac{\text{First part of ratio}}{\text{Second part of ratio}} \times 100\% \]

Where:

• The first part of the ratio is the numerator
• The second part of the ratio is the denominator

Calculation Steps

1. Write the ratio in the form a:b
2. Divide the first part (a) by the second part (b)
3. Multiply the result by 100 to get the percentage

Example: Convert the ratio 3:4 to a percentage

1. Write the ratio as a fraction: 3/4
2. Divide 3 by 4: 3 ÷ 4 = 0.75
3. Multiply by 100: 0.75 × 100 = 75%

Visual Representation

A visual representation can help understand the concept better. Here's a diagram showing the ratio 3:4 as a percentage:

This diagram illustrates how the ratio 3:4 relates to 75%. The blue portion represents 75% of the total width, which corresponds to the ratio 3:4.