41 is what percent of 45625.0375 - 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 45625.0375 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 45625.0375, so we can write it down as 100%=45625.0375.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=45625.0375
2) x%=41
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%=45625.0375/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 45625.0375

100%/x%=45625.0375/41
(100/x)*x=(45625.0375/41)*x       - we multiply both sides of the equation by x
100=1112.8057926829*x       - we divide both sides of the equation by (1112.8057926829) to get x
100/1112.8057926829=x
0.08986293983868=x
x=0.08986293983868

now we have:
41 is 0.08986293983868% of 45625.0375