40.08 is what percent of 369 - 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 369 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 369, so we can write it down as 100%=369.
4. We know, that x% equals 40.08 of the output value, so we can write it down as x%=40.08.
5. Now we have two simple equations:
1) 100%=369
2) x%=40.08
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%=369/40.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.08 is what percent of 369

100%/x%=369/40.08
(100/x)*x=(369/40.08)*x       - we multiply both sides of the equation by x
100=9.2065868263473*x       - we divide both sides of the equation by (9.2065868263473) to get x
100/9.2065868263473=x
10.861788617886=x
x=10.861788617886

now we have:
40.08 is 10.861788617886% of 369