What is 0.42 percent of 0.106 - 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 0.106 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 0.106 is 100%, so we can write it down as 0.106=100%.
4. We know, that x is 0.42% of the output value, so we can write it down as x=0.42%.
5. Now we have two simple equations:
1) 0.106=100%
2) x=0.42%
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:
0.106/x=100%/0.42%
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 0.42% of 0.106

0.106/x=100/0.42
(0.106/x)*x=(100/0.42)*x       - we multiply both sides of the equation by x
0.106=238.09523809524*x       - we divide both sides of the equation by (238.09523809524) to get x
0.106/238.09523809524=x
0.0004452=x
x=0.0004452

now we have:
0.42% of 0.106=0.0004452