366.38 is what percent of 3850 - 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 3850 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 3850, so we can write it down as 100%=3850.
4. We know, that x% equals 366.38 of the output value, so we can write it down as x%=366.38.
5. Now we have two simple equations:
1) 100%=3850
2) x%=366.38
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%=3850/366.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.38 is what percent of 3850

100%/x%=3850/366.38
(100/x)*x=(3850/366.38)*x       - we multiply both sides of the equation by x
100=10.508215513947*x       - we divide both sides of the equation by (10.508215513947) to get x
100/10.508215513947=x
9.5163636363636=x
x=9.5163636363636

now we have:
366.38 is 9.5163636363636% of 3850