What is 0.000200001 percent of 0.01 - 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 0.01 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 0.01 is 100%, so we can write it down as 0.01=100%.
4. We know, that x is 0.000200001% of the output value, so we can write it down as x=0.000200001%.
5. Now we have two simple equations:
1) 0.01=100%
2) x=0.000200001%
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:
0.01/x=100%/0.000200001%
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 0.000200001% of 0.01

0.01/x=100/0.000200001
(0.01/x)*x=(100/0.000200001)*x       - we multiply both sides of the equation by x
0.01=499997.5000125*x       - we divide both sides of the equation by (499997.5000125) to get x
0.01/499997.5000125=x
2.00001E-8=x
x=2.00001E-8

now we have:
0.000200001% of 0.01=2.00001E-8