What is 1.0E-8 percent of 999 - 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 999 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 999 is 100%, so we can write it down as 999=100%.
4. We know, that x is 1.0E-8% of the output value, so we can write it down as x=1.0E-8%.
5. Now we have two simple equations:
1) 999=100%
2) x=1.0E-8%
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:
999/x=100%/1.0E-8%
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-8% of 999

999/x=100/1.0E-8
(999/x)*x=(100/1.0E-8)*x       - we multiply both sides of the equation by x
999=10000000000*x       - we divide both sides of the equation by (10000000000) to get x
999/10000000000=x
9.99E-8=x
x=9.99E-8

now we have:
1.0E-8% of 999=9.99E-8