What is 1.05 percent of 0.05 - 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 0.05 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 0.05 is 100%, so we can write it down as 0.05=100%.
4. We know, that x is 1.05% of the output value, so we can write it down as x=1.05%.
5. Now we have two simple equations:
1) 0.05=100%
2) x=1.05%
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:
0.05/x=100%/1.05%
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 1.05% of 0.05

0.05/x=100/1.05
(0.05/x)*x=(100/1.05)*x       - we multiply both sides of the equation by x
0.05=95.238095238095*x       - we divide both sides of the equation by (95.238095238095) to get x
0.05/95.238095238095=x
0.000525=x
x=0.000525

now we have:
1.05% of 0.05=0.000525