118.5 is what percent of 312 - 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 312 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 312, so we can write it down as 100%=312.
4. We know, that x% equals 118.5 of the output value, so we can write it down as x%=118.5.
5. Now we have two simple equations:
1) 100%=312
2) x%=118.5
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%=312/118.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.5 is what percent of 312

100%/x%=312/118.5
(100/x)*x=(312/118.5)*x       - we multiply both sides of the equation by x
100=2.6329113924051*x       - we divide both sides of the equation by (2.6329113924051) to get x
100/2.6329113924051=x
37.980769230769=x
x=37.980769230769

now we have:
118.5 is 37.980769230769% of 312