What is 4.0E-7 percent of 8.767 - 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 8.767 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 8.767 is 100%, so we can write it down as 8.767=100%.
4. We know, that x is 4.0E-7% of the output value, so we can write it down as x=4.0E-7%.
5. Now we have two simple equations:
1) 8.767=100%
2) x=4.0E-7%
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:
8.767/x=100%/4.0E-7%
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 4.0E-7% of 8.767

8.767/x=100/4.0E-7
(8.767/x)*x=(100/4.0E-7)*x       - we multiply both sides of the equation by x
8.767=250000000*x       - we divide both sides of the equation by (250000000) to get x
8.767/250000000=x
3.5068E-8=x
x=3.5068E-8

now we have:
4.0E-7% of 8.767=3.5068E-8