358.72 is what percent of 3868.46 - 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 3868.46 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 3868.46, so we can write it down as 100%=3868.46.
4. We know, that x% equals 358.72 of the output value, so we can write it down as x%=358.72.
5. Now we have two simple equations:
1) 100%=3868.46
2) x%=358.72
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%=3868.46/358.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 358.72 is what percent of 3868.46

100%/x%=3868.46/358.72
(100/x)*x=(3868.46/358.72)*x       - we multiply both sides of the equation by x
100=10.784065566459*x       - we divide both sides of the equation by (10.784065566459) to get x
100/10.784065566459=x
9.2729406533866=x
x=9.2729406533866

now we have:
358.72 is 9.2729406533866% of 3868.46