Question

The number 37.41 is 21.75% of what number?

Answer 1

This is a question on percentages. We are given a number (37.41) that is a percentage (21.75%) of another and asked to find the whole number of which it is a fraction of.

Our approach is to create an algebraic relationship and solve for the unkown.

We have:

`(21.75)/(100)* x=37.41`

Next we solve for x.

`\begin{gathered} We\text{ simply divide both sides by }(21.75)/(100) \\ x=37.41/(21.75)/(100)=37.41*(100)/(21.75) \\ x=172 \end{gathered}`

x = 172