36.55 is what percent of 292.86 - 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 292.86 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 292.86, so we can write it down as 100%=292.86.
4. We know, that x% equals 36.55 of the output value, so we can write it down as x%=36.55.
5. Now we have two simple equations:
1) 100%=292.86
2) x%=36.55
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%=292.86/36.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.55 is what percent of 292.86

100%/x%=292.86/36.55
(100/x)*x=(292.86/36.55)*x       - we multiply both sides of the equation by x
100=8.012585499316*x       - we divide both sides of the equation by (8.012585499316) to get x
100/8.012585499316=x
12.480366045209=x
x=12.480366045209

now we have:
36.55 is 12.480366045209% of 292.86