Question

37 1/2% of _________ is 36, Please help show work I am really confused.

Answer 1

Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:

Tool #1:  37-1/2 percent means 0.375

Tool #2:  In math problems, "of" almost always means "times".

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Your question says

                           "37-1/2 percent of blank is 36".

Translate it with your tools:

                                  0.375  times  blank  =  36 .

Divide each side by 0.375:              Blank = 36 / 0.375 .

Now grab your pencil or your calculator, and find the value of that
fraction (do the division).  Blank is equal to the value of the fraction.


To check your answer (find out whether it's correct):

Do exactly what the question says.

Multiply (0.375) times (your answer).  If you get 36,
then your answer is correct.  If not, it's not.