13702.66 is what percent of 36551.13 - 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 36551.13 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 36551.13, so we can write it down as 100%=36551.13.
4. We know, that x% equals 13702.66 of the output value, so we can write it down as x%=13702.66.
5. Now we have two simple equations:
1) 100%=36551.13
2) x%=13702.66
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%=36551.13/13702.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13702.66 is what percent of 36551.13

100%/x%=36551.13/13702.66
(100/x)*x=(36551.13/13702.66)*x       - we multiply both sides of the equation by x
100=2.667447780212*x       - we divide both sides of the equation by (2.667447780212) to get x
100/2.667447780212=x
37.489018807353=x
x=37.489018807353

now we have:
13702.66 is 37.489018807353% of 36551.13