What is 0.125 percent of 8.12 - 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 8.12 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 8.12 is 100%, so we can write it down as 8.12=100%.
4. We know, that x is 0.125% of the output value, so we can write it down as x=0.125%.
5. Now we have two simple equations:
1) 8.12=100%
2) x=0.125%
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:
8.12/x=100%/0.125%
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 0.125% of 8.12

8.12/x=100/0.125
(8.12/x)*x=(100/0.125)*x       - we multiply both sides of the equation by x
8.12=800*x       - we divide both sides of the equation by (800) to get x
8.12/800=x
0.01015=x
x=0.01015

now we have:
0.125% of 8.12=0.01015