What is 0.005 percent of 40.075 - 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 40.075 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 40.075 is 100%, so we can write it down as 40.075=100%.
4. We know, that x is 0.005% of the output value, so we can write it down as x=0.005%.
5. Now we have two simple equations:
1) 40.075=100%
2) x=0.005%
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:
40.075/x=100%/0.005%
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 0.005% of 40.075

40.075/x=100/0.005
(40.075/x)*x=(100/0.005)*x       - we multiply both sides of the equation by x
40.075=20000*x       - we divide both sides of the equation by (20000) to get x
40.075/20000=x
0.00200375=x
x=0.00200375

now we have:
0.005% of 40.075=0.00200375