56.6 is what percent of 85 - 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 85 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 85, so we can write it down as 100%=85.
4. We know, that x% equals 56.6 of the output value, so we can write it down as x%=56.6.
5. Now we have two simple equations:
1) 100%=85
2) x%=56.6
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%=85/56.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.6 is what percent of 85

100%/x%=85/56.6
(100/x)*x=(85/56.6)*x       - we multiply both sides of the equation by x
100=1.5017667844523*x       - we divide both sides of the equation by (1.5017667844523) to get x
100/1.5017667844523=x
66.588235294118=x
x=66.588235294118

now we have:
56.6 is 66.588235294118% of 85