41262.54 is what percent of 107173.31 - 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 107173.31 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 107173.31, so we can write it down as 100%=107173.31.
4. We know, that x% equals 41262.54 of the output value, so we can write it down as x%=41262.54.
5. Now we have two simple equations:
1) 100%=107173.31
2) x%=41262.54
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%=107173.31/41262.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41262.54 is what percent of 107173.31

100%/x%=107173.31/41262.54
(100/x)*x=(107173.31/41262.54)*x       - we multiply both sides of the equation by x
100=2.5973512537037*x       - we divide both sides of the equation by (2.5973512537037) to get x
100/2.5973512537037=x
38.500761057021=x
x=38.500761057021

now we have:
41262.54 is 38.500761057021% of 107173.31