102.66 is what percent of 3149.17 - 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 3149.17 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 3149.17, so we can write it down as 100%=3149.17.
4. We know, that x% equals 102.66 of the output value, so we can write it down as x%=102.66.
5. Now we have two simple equations:
1) 100%=3149.17
2) x%=102.66
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%=3149.17/102.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.66 is what percent of 3149.17

100%/x%=3149.17/102.66
(100/x)*x=(3149.17/102.66)*x       - we multiply both sides of the equation by x
100=30.675725696474*x       - we divide both sides of the equation by (30.675725696474) to get x
100/30.675725696474=x
3.2599065785588=x
x=3.2599065785588

now we have:
102.66 is 3.2599065785588% of 3149.17