0.09 is what percent of 30.09 - 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 30.09 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 30.09, so we can write it down as 100%=30.09.
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%=30.09
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%=30.09/0.09
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 30.09

100%/x%=30.09/0.09
(100/x)*x=(30.09/0.09)*x       - we multiply both sides of the equation by x
100=334.33333333333*x       - we divide both sides of the equation by (334.33333333333) to get x
100/334.33333333333=x
0.29910269192423=x
x=0.29910269192423

now we have:
0.09 is 0.29910269192423% of 30.09