36.58 is what percent of 265.09 - 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 265.09 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 265.09, so we can write it down as 100%=265.09.
4. We know, that x% equals 36.58 of the output value, so we can write it down as x%=36.58.
5. Now we have two simple equations:
1) 100%=265.09
2) x%=36.58
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%=265.09/36.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.58 is what percent of 265.09

100%/x%=265.09/36.58
(100/x)*x=(265.09/36.58)*x       - we multiply both sides of the equation by x
100=7.2468562055768*x       - we divide both sides of the equation by (7.2468562055768) to get x
100/7.2468562055768=x
13.799087102493=x
x=13.799087102493

now we have:
36.58 is 13.799087102493% of 265.09