What is 66.666666666667 percent of 0.8 - 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 0.8 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 0.8 is 100%, so we can write it down as 0.8=100%.
4. We know, that x is 66.666666666667% of the output value, so we can write it down as x=66.666666666667%.
5. Now we have two simple equations:
1) 0.8=100%
2) x=66.666666666667%
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:
0.8/x=100%/66.666666666667%
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 66.666666666667% of 0.8

0.8/x=100/66.666666666667
(0.8/x)*x=(100/66.666666666667)*x       - we multiply both sides of the equation by x
0.8=1.5*x       - we divide both sides of the equation by (1.5) to get x
0.8/1.5=x
0.53333333333333=x
x=0.53333333333333

now we have:
66.666666666667% of 0.8=0.53333333333333