What is 0.171875 percent of 0.40625 - 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 0.40625 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 0.40625 is 100%, so we can write it down as 0.40625=100%.
4. We know, that x is 0.171875% of the output value, so we can write it down as x=0.171875%.
5. Now we have two simple equations:
1) 0.40625=100%
2) x=0.171875%
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:
0.40625/x=100%/0.171875%
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 0.171875% of 0.40625

0.40625/x=100/0.171875
(0.40625/x)*x=(100/0.171875)*x       - we multiply both sides of the equation by x
0.40625=581.81818181818*x       - we divide both sides of the equation by (581.81818181818) to get x
0.40625/581.81818181818=x
0.0006982421875=x
x=0.0006982421875

now we have:
0.171875% of 0.40625=0.0006982421875