113.16 is what percent of 98.4 - 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 98.4 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 98.4, so we can write it down as 100%=98.4.
4. We know, that x% equals 113.16 of the output value, so we can write it down as x%=113.16.
5. Now we have two simple equations:
1) 100%=98.4
2) x%=113.16
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%=98.4/113.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.16 is what percent of 98.4

100%/x%=98.4/113.16
(100/x)*x=(98.4/113.16)*x       - we multiply both sides of the equation by x
100=0.8695652173913*x       - we divide both sides of the equation by (0.8695652173913) to get x
100/0.8695652173913=x
115=x
x=115

now we have:
113.16 is 115% of 98.4