8 is what percent of 6.66 - 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 6.66 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 6.66, so we can write it down as 100%=6.66.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=6.66
2) x%=8
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%=6.66/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 6.66

100%/x%=6.66/8
(100/x)*x=(6.66/8)*x       - we multiply both sides of the equation by x
100=0.8325*x       - we divide both sides of the equation by (0.8325) to get x
100/0.8325=x
120.12012012012=x
x=120.12012012012

now we have:
8 is 120.12012012012% of 6.66