36.86 is what percent of 41.91 - 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 41.91 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 41.91, so we can write it down as 100%=41.91.
4. We know, that x% equals 36.86 of the output value, so we can write it down as x%=36.86.
5. Now we have two simple equations:
1) 100%=41.91
2) x%=36.86
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%=41.91/36.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.86 is what percent of 41.91

100%/x%=41.91/36.86
(100/x)*x=(41.91/36.86)*x       - we multiply both sides of the equation by x
100=1.1370048833424*x       - we divide both sides of the equation by (1.1370048833424) to get x
100/1.1370048833424=x
87.950369840134=x
x=87.950369840134

now we have:
36.86 is 87.950369840134% of 41.91