36.75 is what percent of 40.39 - 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 40.39 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 40.39, so we can write it down as 100%=40.39.
4. We know, that x% equals 36.75 of the output value, so we can write it down as x%=36.75.
5. Now we have two simple equations:
1) 100%=40.39
2) x%=36.75
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%=40.39/36.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.75 is what percent of 40.39

100%/x%=40.39/36.75
(100/x)*x=(40.39/36.75)*x       - we multiply both sides of the equation by x
100=1.0990476190476*x       - we divide both sides of the equation by (1.0990476190476) to get x
100/1.0990476190476=x
90.987868284229=x
x=90.987868284229

now we have:
36.75 is 90.987868284229% of 40.39