104.98 is what percent of 112.33 - 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 112.33 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 112.33, so we can write it down as 100%=112.33.
4. We know, that x% equals 104.98 of the output value, so we can write it down as x%=104.98.
5. Now we have two simple equations:
1) 100%=112.33
2) x%=104.98
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%=112.33/104.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.98 is what percent of 112.33

100%/x%=112.33/104.98
(100/x)*x=(112.33/104.98)*x       - we multiply both sides of the equation by x
100=1.0700133358735*x       - we divide both sides of the equation by (1.0700133358735) to get x
100/1.0700133358735=x
93.456779132912=x
x=93.456779132912

now we have:
104.98 is 93.456779132912% of 112.33