0.66 is what percent of 8.75 - 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 8.75 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 8.75, so we can write it down as 100%=8.75.
4. We know, that x% equals 0.66 of the output value, so we can write it down as x%=0.66.
5. Now we have two simple equations:
1) 100%=8.75
2) x%=0.66
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%=8.75/0.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.66 is what percent of 8.75

100%/x%=8.75/0.66
(100/x)*x=(8.75/0.66)*x       - we multiply both sides of the equation by x
100=13.257575757576*x       - we divide both sides of the equation by (13.257575757576) to get x
100/13.257575757576=x
7.5428571428571=x
x=7.5428571428571

now we have:
0.66 is 7.5428571428571% of 8.75