What is 0.166666666 percent of 0.666666666 - 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 0.666666666 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 0.666666666 is 100%, so we can write it down as 0.666666666=100%.
4. We know, that x is 0.166666666% of the output value, so we can write it down as x=0.166666666%.
5. Now we have two simple equations:
1) 0.666666666=100%
2) x=0.166666666%
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:
0.666666666/x=100%/0.166666666%
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 0.166666666% of 0.666666666

0.666666666/x=100/0.166666666
(0.666666666/x)*x=(100/0.166666666)*x       - we multiply both sides of the equation by x
0.666666666=600.0000024*x       - we divide both sides of the equation by (600.0000024) to get x
0.666666666/600.0000024=x
0.0011111111055556=x
x=0.0011111111055556

now we have:
0.166666666% of 0.666666666=0.0011111111055556