36.08 is what percent of 461.58 - 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 461.58 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 461.58, so we can write it down as 100%=461.58.
4. We know, that x% equals 36.08 of the output value, so we can write it down as x%=36.08.
5. Now we have two simple equations:
1) 100%=461.58
2) x%=36.08
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%=461.58/36.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.08 is what percent of 461.58

100%/x%=461.58/36.08
(100/x)*x=(461.58/36.08)*x       - we multiply both sides of the equation by x
100=12.793237250554*x       - we divide both sides of the equation by (12.793237250554) to get x
100/12.793237250554=x
7.816629836648=x
x=7.816629836648

now we have:
36.08 is 7.816629836648% of 461.58