Question

Can you help me understand the steps to solve this?

Answer 1

a)36 is 75 % of 48

b)18 is 25% of 72

Step-by-step explanation

when we have the percentage and the number , the easiest way to find the value is by applying this formula:

`\text{value}=origial\text{ value}\frac{\text{ \% percentage}}{100}`

hence

Step 1

a)

what percet of 72 is 18?

let

100 % = 72, ( the number)

x %, = 18

so

replace

`\begin{gathered} \text{18}=72\frac{\text{ x\% percentage}}{100} \\ 18=(72)/(100)x \\ \text{Multiply both sides by 100/72} \\ 18\cdot(100)/(72)=(72)/(100)x\cdot(1)/(0072) \\ 25=x \end{gathered}`

therefeore,

18 is 25% of 72

Step 2

b) 36 is 75 % of what,so

let

100%= x=original value

75%=36

so

`\begin{gathered} \text{value}=origial\text{ value}\frac{\text{ \% percentage}}{100} \\ 36=x(75)/(100) \\ \text{Multiply both sides by 100/75} \\ 36\cdot(100)/(75)=x(75)/(100)\cdot(100)/(75) \\ 48=x \end{gathered}`

therefore, 36 is 75 % of 48

I hope this helps you