What is 1.0E-7 percent of 7.5E+14 - 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 7.5E+14 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 7.5E+14 is 100%, so we can write it down as 7.5E+14=100%.
4. We know, that x is 1.0E-7% of the output value, so we can write it down as x=1.0E-7%.
5. Now we have two simple equations:
1) 7.5E+14=100%
2) x=1.0E-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:
7.5E+14/x=100%/1.0E-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 1.0E-7% of 7.5E+14

7.5E+14/x=100/1.0E-7
(7.5E+14/x)*x=(100/1.0E-7)*x       - we multiply both sides of the equation by x
7.5E+14=1000000000*x       - we divide both sides of the equation by (1000000000) to get x
7.5E+14/1000000000=x
750000=x
x=750000

now we have:
1.0E-7% of 7.5E+14=750000