66.6 is what percent of 318.9 - 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 318.9 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 318.9, so we can write it down as 100%=318.9.
4. We know, that x% equals 66.6 of the output value, so we can write it down as x%=66.6.
5. Now we have two simple equations:
1) 100%=318.9
2) x%=66.6
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%=318.9/66.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.6 is what percent of 318.9

100%/x%=318.9/66.6
(100/x)*x=(318.9/66.6)*x       - we multiply both sides of the equation by x
100=4.7882882882883*x       - we divide both sides of the equation by (4.7882882882883) to get x
100/4.7882882882883=x
20.884289746002=x
x=20.884289746002

now we have:
66.6 is 20.884289746002% of 318.9