24175.49 is what percent of 38702.56 - 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 38702.56 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 38702.56, so we can write it down as 100%=38702.56.
4. We know, that x% equals 24175.49 of the output value, so we can write it down as x%=24175.49.
5. Now we have two simple equations:
1) 100%=38702.56
2) x%=24175.49
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%=38702.56/24175.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24175.49 is what percent of 38702.56

100%/x%=38702.56/24175.49
(100/x)*x=(38702.56/24175.49)*x       - we multiply both sides of the equation by x
100=1.6009007469962*x       - we divide both sides of the equation by (1.6009007469962) to get x
100/1.6009007469962=x
62.464834367546=x
x=62.464834367546

now we have:
24175.49 is 62.464834367546% of 38702.56