0.09 is what percent of 108 - 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 108 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 108, so we can write it down as 100%=108.
4. We know, that x% equals 0.09 of the output value, so we can write it down as x%=0.09.
5. Now we have two simple equations:
1) 100%=108
2) x%=0.09
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%=108/0.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.09 is what percent of 108

100%/x%=108/0.09
(100/x)*x=(108/0.09)*x       - we multiply both sides of the equation by x
100=1200*x       - we divide both sides of the equation by (1200) to get x
100/1200=x
0.083333333333333=x
x=0.083333333333333

now we have:
0.09 is 0.083333333333333% of 108