366.94 is what percent of 11100 - 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 11100 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 11100, so we can write it down as 100%=11100.
4. We know, that x% equals 366.94 of the output value, so we can write it down as x%=366.94.
5. Now we have two simple equations:
1) 100%=11100
2) x%=366.94
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%=11100/366.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.94 is what percent of 11100

100%/x%=11100/366.94
(100/x)*x=(11100/366.94)*x       - we multiply both sides of the equation by x
100=30.250177140677*x       - we divide both sides of the equation by (30.250177140677) to get x
100/30.250177140677=x
3.3057657657658=x
x=3.3057657657658

now we have:
366.94 is 3.3057657657658% of 11100