116.5 is what percent of 111.75 - 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 111.75 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 111.75, so we can write it down as 100%=111.75.
4. We know, that x% equals 116.5 of the output value, so we can write it down as x%=116.5.
5. Now we have two simple equations:
1) 100%=111.75
2) x%=116.5
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%=111.75/116.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.5 is what percent of 111.75

100%/x%=111.75/116.5
(100/x)*x=(111.75/116.5)*x       - we multiply both sides of the equation by x
100=0.95922746781116*x       - we divide both sides of the equation by (0.95922746781116) to get x
100/0.95922746781116=x
104.25055928412=x
x=104.25055928412

now we have:
116.5 is 104.25055928412% of 111.75