112.38 is what percent of 1042.5 - 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 1042.5 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 1042.5, so we can write it down as 100%=1042.5.
4. We know, that x% equals 112.38 of the output value, so we can write it down as x%=112.38.
5. Now we have two simple equations:
1) 100%=1042.5
2) x%=112.38
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%=1042.5/112.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.38 is what percent of 1042.5

100%/x%=1042.5/112.38
(100/x)*x=(1042.5/112.38)*x       - we multiply both sides of the equation by x
100=9.2765616657768*x       - we divide both sides of the equation by (9.2765616657768) to get x
100/9.2765616657768=x
10.779856115108=x
x=10.779856115108

now we have:
112.38 is 10.779856115108% of 1042.5