Question

Answer the following questions.(a) 39 is what percent of 12.5?(b) 42.5% of what is 20.57?

Answer 1

(a) We are at the percentage of 12.5 which equates to 39. The general formula of getting percentages is:

`N* percent=percentage\text{ result}`

For this problem, we have N = 12.5 and the percentage result is 39. We are looking on percent, wherein the derive equation to solve this is:

`percent=\frac{percentage\text{ result}}{N}`

We substitute the given on the problem, getting:

`\begin{gathered} \text{percent}=(39)/(12.5) \\ \text{percent}=3.12 \end{gathered}`

This answer is not yet in terms of %. We multiply it by 100% to write it in percent notation, hence, the answer in part (a) would be 3.12 x 100% = 312%,

(b) For this part, we are looking at N. Hence, the equation that we will use is:

`N=\frac{percentage\text{ result}}{percent}`

Before calculating, we must adjust first the percent into number notation, that is, divide it by 100%. We can say that 42.5% is also equal to 0.425. Therefore, the value of N in this problem is:

`N=(20.57)/(0.425)=48.4`

Answers:

(a) 312%

(b) 48.4