Astudent answered 46 problems on the test correctly and received a grade of 88%. how many problems were on the test if all problems we wear the same number of points?

So to find percentages we do the part over the whole.   So in this equations we do

(answered correctly)/(total number of questions) * 100=grade

answered correctly = 46 
Total number problems = x
where x is the number we don't know 
and 
grade is 88

(46)/(x) = .88 

multiply both sides by x 

we get 

46 = .88x

we just need to simplify
46/.88 = x
52.27 = x