112.4 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 112.4 of the output value, so we can write it down as x%=112.4.
5. Now we have two simple equations:
1) 100%=312
2) x%=112.4
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%=312/112.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.4 is what percent of 312

100%/x%=312/112.4
(100/x)*x=(312/112.4)*x       - we multiply both sides of the equation by x
100=2.7758007117438*x       - we divide both sides of the equation by (2.7758007117438) to get x
100/2.7758007117438=x
36.025641025641=x
x=36.025641025641

now we have:
112.4 is 36.025641025641% of 312