9 is what percent of 3808.2 - 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 3808.2 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 3808.2, so we can write it down as 100%=3808.2.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=3808.2
2) x%=9
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%=3808.2/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 3808.2

100%/x%=3808.2/9
(100/x)*x=(3808.2/9)*x       - we multiply both sides of the equation by x
100=423.13333333333*x       - we divide both sides of the equation by (423.13333333333) to get x
100/423.13333333333=x
0.23633212541358=x
x=0.23633212541358

now we have:
9 is 0.23633212541358% of 3808.2