What is 0.009 percent of 42.481 - 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 42.481 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 42.481 is 100%, so we can write it down as 42.481=100%.
4. We know, that x is 0.009% of the output value, so we can write it down as x=0.009%.
5. Now we have two simple equations:
1) 42.481=100%
2) x=0.009%
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:
42.481/x=100%/0.009%
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 0.009% of 42.481

42.481/x=100/0.009
(42.481/x)*x=(100/0.009)*x       - we multiply both sides of the equation by x
42.481=11111.111111111*x       - we divide both sides of the equation by (11111.111111111) to get x
42.481/11111.111111111=x
0.00382329=x
x=0.00382329

now we have:
0.009% of 42.481=0.00382329