108.58 is what percent of 363 - 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 363 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 363, so we can write it down as 100%=363.
4. We know, that x% equals 108.58 of the output value, so we can write it down as x%=108.58.
5. Now we have two simple equations:
1) 100%=363
2) x%=108.58
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%=363/108.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.58 is what percent of 363

100%/x%=363/108.58
(100/x)*x=(363/108.58)*x       - we multiply both sides of the equation by x
100=3.3431571191748*x       - we divide both sides of the equation by (3.3431571191748) to get x
100/3.3431571191748=x
29.911845730028=x
x=29.911845730028

now we have:
108.58 is 29.911845730028% of 363