What is 1.0E-9 percent of 41000 - 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 41000 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 41000 is 100%, so we can write it down as 41000=100%.
4. We know, that x is 1.0E-9% of the output value, so we can write it down as x=1.0E-9%.
5. Now we have two simple equations:
1) 41000=100%
2) x=1.0E-9%
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:
41000/x=100%/1.0E-9%
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 1.0E-9% of 41000

41000/x=100/1.0E-9
(41000/x)*x=(100/1.0E-9)*x       - we multiply both sides of the equation by x
41000=100000000000*x       - we divide both sides of the equation by (100000000000) to get x
41000/100000000000=x
4.1E-7=x
x=4.1E-7

now we have:
1.0E-9% of 41000=4.1E-7