What is 66.666666666 percent of 60 - 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 60 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 60 is 100%, so we can write it down as 60=100%.
4. We know, that x is 66.666666666% of the output value, so we can write it down as x=66.666666666%.
5. Now we have two simple equations:
1) 60=100%
2) x=66.666666666%
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:
60/x=100%/66.666666666%
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 66.666666666% of 60

60/x=100/66.666666666
(60/x)*x=(100/66.666666666)*x       - we multiply both sides of the equation by x
60=1.500000000015*x       - we divide both sides of the equation by (1.500000000015) to get x
60/1.500000000015=x
39.9999999996=x
x=39.9999999996

now we have:
66.666666666% of 60=39.9999999996