How do you convert percentages to ratios?

Answer 1

If you have a ratio (such as 3:4) it means that for every 3 objects you have, you have 4 of the other object. To convert this to a percentage is simple.

1. Add the two numbers of the ratio

2. Choose which object you want to get the % of

3. take the number of that object, and divide it by the total number.

4. Multiply by 100 to convert into percentage

Here is a quick example

I have 3 Apples, and 4 Oranges, what percentage oranges do I have?

1. Add the numbers of the ratio (3+4=7) This means we have 7 total pieces of fruit

2. Choose which object (We want the percentage of oranges)

3. Divide (4 oranges / 7 total), 4/7 = 0.57 (approximate)

4. 0.57*100 = 57% Oranges

NOTE:

I have seen MULTIPLE INCORRECT answers to this question. A ratio of 3:4 does NOT mean that you just divide 3/4 to get 75%. Once again, 3:4 means that for ever 3 objects you have of the first, you have 4 of the second. If you wanted to express 75% as a ratio, it would actually be 3:1, as 1+3=4, and 3/4 is 75%.

Answer 2

Interpret "percent" as "hundredths". Thus, 57% = 57/100. 48% = 48/100 = 12/25. 115% = 115/100 = 23/20.