35.08 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 35.08 of the output value, so we can write it down as x%=35.08.
5. Now we have two simple equations:
1) 100%=40
2) x%=35.08
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%=40/35.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.08 is what percent of 40

100%/x%=40/35.08
(100/x)*x=(40/35.08)*x       - we multiply both sides of the equation by x
100=1.1402508551881*x       - we divide both sides of the equation by (1.1402508551881) to get x
100/1.1402508551881=x
87.7=x
x=87.7

now we have:
35.08 is 87.7% of 40