Question

22.5 is 15% of blank

Answer 1

So,

Let "x" be the amount that we want to find.

We know that 15% of x equals 22.5. We could write this as the following equation:

`15\%(x)=22.5`

15% is the same to write 15/100. So,

`(15x)/(100)=22.5`

Now, let's solve this equation for x:

`\begin{gathered} 15x=22.5\cdot100 \\ 15x=2250 \\ x=(2250)/(15)=150 \end{gathered}`

We can represent a percentage always dividing the number by 100:

For example,

`\begin{gathered} 50\%=(50)/(100) \\ \\ 45\%=(45)/(100) \\ \\ 20\%=(20)/(100) \\ \\ \text{and so on} \end{gathered}`

In this problem, we need to represent 15%, so that's 15/100. The only thing we did until then, was to rewrite the percentage. Then, just state the equation:

If 15% of x = 22.5, we should find x, so, we multiply by cross and obtain that x=150.