We know that the total amount of sales last week was $3,640, so 100% of sales is $3,640. We also know that the commission earned last week is $172, so we need to find what percentage of $3,640 is $172. To do that we are going to establish a proportion as follows:
[tex] \frac{3640---\ \textgreater \ 100}{172---\ \textgreater \ x} [/tex]
[tex] \frac{100}{172} = \frac{100}{x} [/tex]
Now we just solve for [tex]x[/tex]:
[tex]x= \frac{(172)(100)}{3640} [/tex]
[tex]x=4.73[/tex]
We can conclude that our sales person has a commission of 4.73% over the total amount of sells per week. Since the commission of the last week was $172, the total sales was $3640 because the 4.73% of $3640 is $172.