66.6 is what percent of 73.2 - 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 73.2 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 73.2, so we can write it down as 100%=73.2.
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%=73.2
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%=73.2/66.6
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 73.2

100%/x%=73.2/66.6
(100/x)*x=(73.2/66.6)*x       - we multiply both sides of the equation by x
100=1.0990990990991*x       - we divide both sides of the equation by (1.0990990990991) to get x
100/1.0990990990991=x
90.983606557377=x
x=90.983606557377

now we have:
66.6 is 90.983606557377% of 73.2