What is 66.6666 percent of 85.5 - 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 85.5 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 85.5 is 100%, so we can write it down as 85.5=100%.
4. We know, that x is 66.6666% of the output value, so we can write it down as x=66.6666%.
5. Now we have two simple equations:
1) 85.5=100%
2) x=66.6666%
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:
85.5/x=100%/66.6666%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 66.6666% of 85.5

85.5/x=100/66.6666
(85.5/x)*x=(100/66.6666)*x       - we multiply both sides of the equation by x
85.5=1.5000015000015*x       - we divide both sides of the equation by (1.5000015000015) to get x
85.5/1.5000015000015=x
56.999943=x
x=56.999943

now we have:
66.6666% of 85.5=56.999943