What is 0.1666666666666 percent of 100 - 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 100 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 100 is 100%, so we can write it down as 100=100%.
4. We know, that x is 0.1666666666666% of the output value, so we can write it down as x=0.1666666666666%.
5. Now we have two simple equations:
1) 100=100%
2) x=0.1666666666666%
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:
100/x=100%/0.1666666666666%
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 0.1666666666666% of 100

100/x=100/0.1666666666666
(100/x)*x=(100/0.1666666666666)*x       - we multiply both sides of the equation by x
100=600.00000000024*x       - we divide both sides of the equation by (600.00000000024) to get x
100/600.00000000024=x
0.1666666666666=x
x=0.1666666666666

now we have:
0.1666666666666% of 100=0.1666666666666