Percentage to Ratio Calculator

Convert percentages to ratios or ratios to percentages with this calculator. Input a percentage to get its equivalent ratio, or input a ratio to get its percentage, with step-by-step explanations and visual representations.

Percentage to Ratio
Ratio to Percentage
:
Standard
Step by Step
Chart View

Result

Detailed Steps

Visual Representation

Formulas

Percentage to Ratio

Convert a percentage to a ratio:

Percentage = P%
Fraction = P / 100
Ratio = P : (100 – P) (simplified)

Ratio to Percentage

Convert a ratio to a percentage:

Ratio = a : b
Fraction = a / (a + b)
Percentage = (a / (a + b)) × 100%

How to Use the Percentage to Ratio Calculator

  1. Select the conversion type: “Percentage to Ratio” or “Ratio to Percentage.”
  2. For Percentage to Ratio, enter a percentage (e.g., 75).
  3. For Ratio to Percentage, enter the ratio parts (e.g., 3 and 4 for 3:4).
  4. Optionally, adjust the precision level for decimal calculations (default is 5).
  5. Choose your preferred display mode (Standard, Step by Step, or Chart).
  6. Click the “Calculate” button.
  7. View your results in the chosen format.

Frequently Asked Questions (FAQs)

What is a percentage to ratio conversion?

It converts a percentage (e.g., 75%) to a ratio (e.g., 3:4) by expressing the percentage as a fraction (75/100) and simplifying it to its lowest terms.

What is a ratio to percentage conversion?

It converts a ratio (e.g., 3:4) to a percentage (e.g., 75%) by dividing the first part by the sum of both parts and multiplying by 100.

Why simplify ratios?

Simplifying ratios reduces the numbers to their lowest terms, making them easier to understand and compare, while maintaining the same proportion.

Can I use negative numbers?

No, percentages and ratio parts must be non-negative, as they represent proportions or counts.

How accurate is this calculator?

The calculator provides accurate conversions, with customizable precision up to 10 decimal places for percentage calculations and exact ratio simplification using the GCD method.