What % of 80 = 32 explain if you know the answer

40%

1. We assume, that the number 80 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 100% equals 80, so we can write it down as 100%=80. 
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32. 
5. Now we have two simple equations:
1) 100%=80
2) x%=32
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=80/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 80

100%/x%=80/32
(100/x)*x=(80/32)*x       - we multiply both sides of the equation by x
100=2.5*x       - we divide both sides of the equation by (2.5) to get x
100/2.5=x 
40=x 
x=40

now we have: 
32 is 40% of 80

So it would be 32 over 80 then x over 100 the cross multiply 32 and 100 witch equals 3200 then divid 80 and 3200 to get 40 %