112.82 is what percent of 123.1 - 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 123.1 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 123.1, so we can write it down as 100%=123.1.
4. We know, that x% equals 112.82 of the output value, so we can write it down as x%=112.82.
5. Now we have two simple equations:
1) 100%=123.1
2) x%=112.82
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%=123.1/112.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.82 is what percent of 123.1

100%/x%=123.1/112.82
(100/x)*x=(123.1/112.82)*x       - we multiply both sides of the equation by x
100=1.0911185959936*x       - we divide both sides of the equation by (1.0911185959936) to get x
100/1.0911185959936=x
91.649065800162=x
x=91.649065800162

now we have:
112.82 is 91.649065800162% of 123.1