What is 0.6 percent of 39.2 - 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 39.2 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 39.2 is 100%, so we can write it down as 39.2=100%.
4. We know, that x is 0.6% of the output value, so we can write it down as x=0.6%.
5. Now we have two simple equations:
1) 39.2=100%
2) x=0.6%
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:
39.2/x=100%/0.6%
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 0.6% of 39.2

39.2/x=100/0.6
(39.2/x)*x=(100/0.6)*x       - we multiply both sides of the equation by x
39.2=166.66666666667*x       - we divide both sides of the equation by (166.66666666667) to get x
39.2/166.66666666667=x
0.2352=x
x=0.2352

now we have:
0.6% of 39.2=0.2352