11.11 is what percent of 66.64 - 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 66.64 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 66.64, so we can write it down as 100%=66.64.
4. We know, that x% equals 11.11 of the output value, so we can write it down as x%=11.11.
5. Now we have two simple equations:
1) 100%=66.64
2) x%=11.11
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%=66.64/11.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.11 is what percent of 66.64

100%/x%=66.64/11.11
(100/x)*x=(66.64/11.11)*x       - we multiply both sides of the equation by x
100=5.998199819982*x       - we divide both sides of the equation by (5.998199819982) to get x
100/5.998199819982=x
16.671668667467=x
x=16.671668667467

now we have:
11.11 is 16.671668667467% of 66.64