38.88 is what percent of 113.4 - 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 113.4 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 113.4, so we can write it down as 100%=113.4.
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%=113.4
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%=113.4/38.88
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 113.4

100%/x%=113.4/38.88
(100/x)*x=(113.4/38.88)*x       - we multiply both sides of the equation by x
100=2.9166666666667*x       - we divide both sides of the equation by (2.9166666666667) to get x
100/2.9166666666667=x
34.285714285714=x
x=34.285714285714

now we have:
38.88 is 34.285714285714% of 113.4