What is 8.5807448086494 percent of 0.005 - 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 0.005 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 0.005 is 100%, so we can write it down as 0.005=100%.
4. We know, that x is 8.5807448086494% of the output value, so we can write it down as x=8.5807448086494%.
5. Now we have two simple equations:
1) 0.005=100%
2) x=8.5807448086494%
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:
0.005/x=100%/8.5807448086494%
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 8.5807448086494% of 0.005

0.005/x=100/8.5807448086494
(0.005/x)*x=(100/8.5807448086494)*x       - we multiply both sides of the equation by x
0.005=11.654*x       - we divide both sides of the equation by (11.654) to get x
0.005/11.654=x
0.00042903724043247=x
x=0.00042903724043247

now we have:
8.5807448086494% of 0.005=0.00042903724043247