66.27 is what percent of 80.5 - 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 80.5 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 80.5, so we can write it down as 100%=80.5.
4. We know, that x% equals 66.27 of the output value, so we can write it down as x%=66.27.
5. Now we have two simple equations:
1) 100%=80.5
2) x%=66.27
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%=80.5/66.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.27 is what percent of 80.5

100%/x%=80.5/66.27
(100/x)*x=(80.5/66.27)*x       - we multiply both sides of the equation by x
100=1.2147276293949*x       - we divide both sides of the equation by (1.2147276293949) to get x
100/1.2147276293949=x
82.32298136646=x
x=82.32298136646

now we have:
66.27 is 82.32298136646% of 80.5