108.7 is what percent of 355.37 - 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 355.37 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 355.37, so we can write it down as 100%=355.37.
4. We know, that x% equals 108.7 of the output value, so we can write it down as x%=108.7.
5. Now we have two simple equations:
1) 100%=355.37
2) x%=108.7
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%=355.37/108.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.7 is what percent of 355.37

100%/x%=355.37/108.7
(100/x)*x=(355.37/108.7)*x       - we multiply both sides of the equation by x
100=3.2692732290708*x       - we divide both sides of the equation by (3.2692732290708) to get x
100/3.2692732290708=x
30.587838027971=x
x=30.587838027971

now we have:
108.7 is 30.587838027971% of 355.37