What is 5.0E-6 percent of 0.008 - 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 0.008 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 0.008 is 100%, so we can write it down as 0.008=100%.
4. We know, that x is 5.0E-6% of the output value, so we can write it down as x=5.0E-6%.
5. Now we have two simple equations:
1) 0.008=100%
2) x=5.0E-6%
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:
0.008/x=100%/5.0E-6%
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 5.0E-6% of 0.008

0.008/x=100/5.0E-6
(0.008/x)*x=(100/5.0E-6)*x       - we multiply both sides of the equation by x
0.008=20000000*x       - we divide both sides of the equation by (20000000) to get x
0.008/20000000=x
4.0E-10=x
x=4.0E-10

now we have:
5.0E-6% of 0.008=4.0E-10