What is 6.6666666 percent of 666.66 - 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 666.66 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 666.66 is 100%, so we can write it down as 666.66=100%.
4. We know, that x is 6.6666666% of the output value, so we can write it down as x=6.6666666%.
5. Now we have two simple equations:
1) 666.66=100%
2) x=6.6666666%
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:
666.66/x=100%/6.6666666%
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 6.6666666% of 666.66

666.66/x=100/6.6666666
(666.66/x)*x=(100/6.6666666)*x       - we multiply both sides of the equation by x
666.66=15.00000015*x       - we divide both sides of the equation by (15.00000015) to get x
666.66/15.00000015=x
44.44399955556=x
x=44.44399955556

now we have:
6.6666666% of 666.66=44.44399955556