36.16 is what percent of 83.7 - 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 83.7 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 83.7, so we can write it down as 100%=83.7.
4. We know, that x% equals 36.16 of the output value, so we can write it down as x%=36.16.
5. Now we have two simple equations:
1) 100%=83.7
2) x%=36.16
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%=83.7/36.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.16 is what percent of 83.7

100%/x%=83.7/36.16
(100/x)*x=(83.7/36.16)*x       - we multiply both sides of the equation by x
100=2.3147123893805*x       - we divide both sides of the equation by (2.3147123893805) to get x
100/2.3147123893805=x
43.201911589008=x
x=43.201911589008

now we have:
36.16 is 43.201911589008% of 83.7