What is 17 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 17% of the output value, so we can write it down as x=17%.
5. Now we have two simple equations:
1) 0.166=100%
2) x=17%
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%/17%
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 17% of 0.166

0.166/x=100/17
(0.166/x)*x=(100/17)*x       - we multiply both sides of the equation by x
0.166=5.8823529411765*x       - we divide both sides of the equation by (5.8823529411765) to get x
0.166/5.8823529411765=x
0.02822=x
x=0.02822

now we have:
17% of 0.166=0.02822