5.66 is what percent of 8 - 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 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, so we can write it down as 100%=8.
4. We know, that x% equals 5.66 of the output value, so we can write it down as x%=5.66.
5. Now we have two simple equations:
1) 100%=8
2) x%=5.66
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%=8/5.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.66 is what percent of 8

100%/x%=8/5.66
(100/x)*x=(8/5.66)*x       - we multiply both sides of the equation by x
100=1.4134275618375*x       - we divide both sides of the equation by (1.4134275618375) to get x
100/1.4134275618375=x
70.75=x
x=70.75

now we have:
5.66 is 70.75% of 8