108.5 is what percent of 38 - 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 38 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 38, so we can write it down as 100%=38.
4. We know, that x% equals 108.5 of the output value, so we can write it down as x%=108.5.
5. Now we have two simple equations:
1) 100%=38
2) x%=108.5
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%=38/108.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.5 is what percent of 38

100%/x%=38/108.5
(100/x)*x=(38/108.5)*x       - we multiply both sides of the equation by x
100=0.35023041474654*x       - we divide both sides of the equation by (0.35023041474654) to get x
100/0.35023041474654=x
285.52631578947=x
x=285.52631578947

now we have:
108.5 is 285.52631578947% of 38