102.65 is what percent of 1106.66 - 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 1106.66 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 1106.66, so we can write it down as 100%=1106.66.
4. We know, that x% equals 102.65 of the output value, so we can write it down as x%=102.65.
5. Now we have two simple equations:
1) 100%=1106.66
2) x%=102.65
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%=1106.66/102.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.65 is what percent of 1106.66

100%/x%=1106.66/102.65
(100/x)*x=(1106.66/102.65)*x       - we multiply both sides of the equation by x
100=10.780905991232*x       - we divide both sides of the equation by (10.780905991232) to get x
100/10.780905991232=x
9.2756582870981=x
x=9.2756582870981

now we have:
102.65 is 9.2756582870981% of 1106.66