36 is what percent of 97.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 97.5 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 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 36 of the output value, so we can write it down as x%=36.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=36
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%=97.5/36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36 is what percent of 97.5

100%/x%=97.5/36
(100/x)*x=(97.5/36)*x       - we multiply both sides of the equation by x
100=2.7083333333333*x       - we divide both sides of the equation by (2.7083333333333) to get x
100/2.7083333333333=x
36.923076923077=x
x=36.923076923077

now we have:
36 is 36.923076923077% of 97.5