What is 7.8 percent of 1.0E-5 - 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 1.0E-5 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 1.0E-5 is 100%, so we can write it down as 1.0E-5=100%.
4. We know, that x is 7.8% of the output value, so we can write it down as x=7.8%.
5. Now we have two simple equations:
1) 1.0E-5=100%
2) x=7.8%
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:
1.0E-5/x=100%/7.8%
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 7.8% of 1.0E-5

1.0E-5/x=100/7.8
(1.0E-5/x)*x=(100/7.8)*x       - we multiply both sides of the equation by x
1.0E-5=12.820512820513*x       - we divide both sides of the equation by (12.820512820513) to get x
1.0E-5/12.820512820513=x
7.8E-7=x
x=7.8E-7

now we have:
7.8% of 1.0E-5=7.8E-7