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:
[tex]\frac{21.75}{100}\times x=37.41[/tex]Next we solve for x.
[tex]\begin{gathered} We\text{ simply divide both sides by }\frac{21.75}{100} \\ x=37.41\div\frac{21.75}{100}=37.41\times\frac{100}{21.75} \\ x=172 \end{gathered}[/tex]x = 172
