66.66 is what percent of 63 - 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 63 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 63, so we can write it down as 100%=63.
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%=63
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%=63/66.66
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 63

100%/x%=63/66.66
(100/x)*x=(63/66.66)*x       - we multiply both sides of the equation by x
100=0.94509450945095*x       - we divide both sides of the equation by (0.94509450945095) to get x
100/0.94509450945095=x
105.80952380952=x
x=105.80952380952

now we have:
66.66 is 105.80952380952% of 63