41.71 is what percent of 118 - 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 118 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 118, so we can write it down as 100%=118.
4. We know, that x% equals 41.71 of the output value, so we can write it down as x%=41.71.
5. Now we have two simple equations:
1) 100%=118
2) x%=41.71
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%=118/41.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.71 is what percent of 118

100%/x%=118/41.71
(100/x)*x=(118/41.71)*x       - we multiply both sides of the equation by x
100=2.8290577799089*x       - we divide both sides of the equation by (2.8290577799089) to get x
100/2.8290577799089=x
35.347457627119=x
x=35.347457627119

now we have:
41.71 is 35.347457627119% of 118