What is 106.6 percent of 0.2 - 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 0.2 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 0.2 is 100%, so we can write it down as 0.2=100%.
4. We know, that x is 106.6% of the output value, so we can write it down as x=106.6%.
5. Now we have two simple equations:
1) 0.2=100%
2) x=106.6%
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:
0.2/x=100%/106.6%
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 106.6% of 0.2

0.2/x=100/106.6
(0.2/x)*x=(100/106.6)*x       - we multiply both sides of the equation by x
0.2=0.93808630393996*x       - we divide both sides of the equation by (0.93808630393996) to get x
0.2/0.93808630393996=x
0.2132=x
x=0.2132

now we have:
106.6% of 0.2=0.2132