102.06 is what percent of 1149.95 - 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 1149.95 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 1149.95, so we can write it down as 100%=1149.95.
4. We know, that x% equals 102.06 of the output value, so we can write it down as x%=102.06.
5. Now we have two simple equations:
1) 100%=1149.95
2) x%=102.06
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%=1149.95/102.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.06 is what percent of 1149.95

100%/x%=1149.95/102.06
(100/x)*x=(1149.95/102.06)*x       - we multiply both sides of the equation by x
100=11.267391730355*x       - we divide both sides of the equation by (11.267391730355) to get x
100/11.267391730355=x
8.8751684855863=x
x=8.8751684855863

now we have:
102.06 is 8.8751684855863% of 1149.95