18 is what percent of 0.11 - 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 0.11 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 0.11, so we can write it down as 100%=0.11.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=0.11
2) x%=18
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%=0.11/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 0.11

100%/x%=0.11/18
(100/x)*x=(0.11/18)*x       - we multiply both sides of the equation by x
100=0.0061111111111111*x       - we divide both sides of the equation by (0.0061111111111111) to get x
100/0.0061111111111111=x
16363.636363636=x
x=16363.636363636

now we have:
18 is 16363.636363636% of 0.11