36.11 is what percent of 58.08 - 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 58.08 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 58.08, so we can write it down as 100%=58.08.
4. We know, that x% equals 36.11 of the output value, so we can write it down as x%=36.11.
5. Now we have two simple equations:
1) 100%=58.08
2) x%=36.11
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%=58.08/36.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.11 is what percent of 58.08

100%/x%=58.08/36.11
(100/x)*x=(58.08/36.11)*x       - we multiply both sides of the equation by x
100=1.608418720576*x       - we divide both sides of the equation by (1.608418720576) to get x
100/1.608418720576=x
62.172865013774=x
x=62.172865013774

now we have:
36.11 is 62.172865013774% of 58.08