Converting Percent to Ratio
A percentage is just a ratio out of 100. "Percent" literally means "per 100".
The Process
- Write as fraction: Take your percentage and write it over 100.
Example: 25% → 25/100 - Simplify: Find factors common to both top and bottom.
25 and 100 are both divisible by 25.
25 ÷ 25 = 1
100 ÷ 25 = 4 - Write as Ratio: Express the simplified fraction as x:y.
Result: 1:4
Frequently Asked Questions
How do you convert a percent to a ratio?
Write the percentage as a fraction over 100 (e.g., 25% = 25/100). Simplify the fraction, then write it in ratio format (numerator:denominator).
What is 75% as a ratio?
75% = 75/100. Divide both by 25 to get 3/4. The ratio is 3:4.
Can ratios represent percentages over 100?
Yes. For example, 200% = 200/100 = 2/1 = 2:1 ratio.
