118.7 is what percent of 116.3 - 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 116.3 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 116.3, so we can write it down as 100%=116.3.
4. We know, that x% equals 118.7 of the output value, so we can write it down as x%=118.7.
5. Now we have two simple equations:
1) 100%=116.3
2) x%=118.7
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%=116.3/118.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.7 is what percent of 116.3

100%/x%=116.3/118.7
(100/x)*x=(116.3/118.7)*x       - we multiply both sides of the equation by x
100=0.97978096040438*x       - we divide both sides of the equation by (0.97978096040438) to get x
100/0.97978096040438=x
102.06362854686=x
x=102.06362854686

now we have:
118.7 is 102.06362854686% of 116.3