Percent to Ratio Calculator

Convert Percent to Ratio

Enter a percentage below to convert it to a ratio expressed as A:B. This calculator will show you the result and provide step-by-step explanations.

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Please enter a valid number for the percentage.

How to Convert Percent to Ratio

Converting a percentage to a ratio is a fundamental mathematical operation that's useful in various fields, including statistics, finance, and everyday calculations. This process involves expressing a part of 100 as a comparison between two numbers.

Percent to Ratio Formula

The formula to convert a percentage to a ratio is:

\[ \frac{Percentage}{100} = \frac{A}{B} \]

Where:

  • Percentage is the given percentage value
  • 100 is the denominator for all percentages
  • A is the first part of the ratio
  • B is the second part of the ratio

Calculation Steps

  1. Write the percentage as a fraction with 100 as the denominator
  2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD)
  3. Express the simplified fraction as a ratio A:B

Example Calculation

Let's convert 75% to a ratio.

Step 1: Write as a fraction

\[ \frac{75}{100} \]

Step 2: Find the GCD

The GCD of 75 and 100 is 25.

Step 3: Simplify the fraction

\[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Step 4: Express as A:B

3:4

Step 5: Final result

75% = 3:4

Visual Representation

4:4 3:4

This diagram illustrates how 75% (or 3:4) relates to the whole (4:4). The blue portion represents 3 parts out of 4 equal parts of the entire bar, which is equivalent to 75%.

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