66.66 is what percent of 363.16 - 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 363.16 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 363.16, so we can write it down as 100%=363.16.
4. We know, that x% equals 66.66 of the output value, so we can write it down as x%=66.66.
5. Now we have two simple equations:
1) 100%=363.16
2) x%=66.66
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%=363.16/66.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.66 is what percent of 363.16

100%/x%=363.16/66.66
(100/x)*x=(363.16/66.66)*x       - we multiply both sides of the equation by x
100=5.4479447944794*x       - we divide both sides of the equation by (5.4479447944794) to get x
100/5.4479447944794=x
18.355545764952=x
x=18.355545764952

now we have:
66.66 is 18.355545764952% of 363.16