111.75 is what percent of 1152 - 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 1152 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 1152, so we can write it down as 100%=1152.
4. We know, that x% equals 111.75 of the output value, so we can write it down as x%=111.75.
5. Now we have two simple equations:
1) 100%=1152
2) x%=111.75
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%=1152/111.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.75 is what percent of 1152

100%/x%=1152/111.75
(100/x)*x=(1152/111.75)*x       - we multiply both sides of the equation by x
100=10.308724832215*x       - we divide both sides of the equation by (10.308724832215) to get x
100/10.308724832215=x
9.7005208333333=x
x=9.7005208333333

now we have:
111.75 is 9.7005208333333% of 1152