38.88 is what percent of 111.16 - 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 111.16 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 111.16, so we can write it down as 100%=111.16.
4. We know, that x% equals 38.88 of the output value, so we can write it down as x%=38.88.
5. Now we have two simple equations:
1) 100%=111.16
2) x%=38.88
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%=111.16/38.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.88 is what percent of 111.16

100%/x%=111.16/38.88
(100/x)*x=(111.16/38.88)*x       - we multiply both sides of the equation by x
100=2.8590534979424*x       - we divide both sides of the equation by (2.8590534979424) to get x
100/2.8590534979424=x
34.976610291472=x
x=34.976610291472

now we have:
38.88 is 34.976610291472% of 111.16