66 is what percent of 483 - 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 483 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 483, so we can write it down as 100%=483.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=483
2) x%=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%=483/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 483

100%/x%=483/66
(100/x)*x=(483/66)*x       - we multiply both sides of the equation by x
100=7.3181818181818*x       - we divide both sides of the equation by (7.3181818181818) to get x
100/7.3181818181818=x
13.664596273292=x
x=13.664596273292

now we have:
66 is 13.664596273292% of 483