43.97 is what percent of 115.838 - 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 115.838 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 115.838, so we can write it down as 100%=115.838.
4. We know, that x% equals 43.97 of the output value, so we can write it down as x%=43.97.
5. Now we have two simple equations:
1) 100%=115.838
2) x%=43.97
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%=115.838/43.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.97 is what percent of 115.838

100%/x%=115.838/43.97
(100/x)*x=(115.838/43.97)*x       - we multiply both sides of the equation by x
100=2.6344780532181*x       - we divide both sides of the equation by (2.6344780532181) to get x
100/2.6344780532181=x
37.958182979679=x
x=37.958182979679

now we have:
43.97 is 37.958182979679% of 115.838