38.04 is what percent of 367.32 - 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 367.32 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 367.32, so we can write it down as 100%=367.32.
4. We know, that x% equals 38.04 of the output value, so we can write it down as x%=38.04.
5. Now we have two simple equations:
1) 100%=367.32
2) x%=38.04
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%=367.32/38.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.04 is what percent of 367.32

100%/x%=367.32/38.04
(100/x)*x=(367.32/38.04)*x       - we multiply both sides of the equation by x
100=9.6561514195584*x       - we divide both sides of the equation by (9.6561514195584) to get x
100/9.6561514195584=x
10.356092780137=x
x=10.356092780137

now we have:
38.04 is 10.356092780137% of 367.32