What is 100 percent of 0.166 - 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 0.166 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 0.166 is 100%, so we can write it down as 0.166=100%.
4. We know, that x is 100% of the output value, so we can write it down as x=100%.
5. Now we have two simple equations:
1) 0.166=100%
2) x=100%
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:
0.166/x=100%/100%
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 100% of 0.166

0.166/x=100/100
(0.166/x)*x=(100/100)*x       - we multiply both sides of the equation by x
0.166=1*x       - we divide both sides of the equation by (1) to get x
0.166/1=x
0.166=x
x=0.166

now we have:
100% of 0.166=0.166