What is 0.2 percent of 42.6 - 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 42.6 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 42.6 is 100%, so we can write it down as 42.6=100%.
4. We know, that x is 0.2% of the output value, so we can write it down as x=0.2%.
5. Now we have two simple equations:
1) 42.6=100%
2) x=0.2%
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:
42.6/x=100%/0.2%
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 0.2% of 42.6

42.6/x=100/0.2
(42.6/x)*x=(100/0.2)*x       - we multiply both sides of the equation by x
42.6=500*x       - we divide both sides of the equation by (500) to get x
42.6/500=x
0.0852=x
x=0.0852

now we have:
0.2% of 42.6=0.0852