What is 46.06 percent of 0.47 - 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 0.47 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 0.47 is 100%, so we can write it down as 0.47=100%.
4. We know, that x is 46.06% of the output value, so we can write it down as x=46.06%.
5. Now we have two simple equations:
1) 0.47=100%
2) x=46.06%
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:
0.47/x=100%/46.06%
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 46.06% of 0.47

0.47/x=100/46.06
(0.47/x)*x=(100/46.06)*x       - we multiply both sides of the equation by x
0.47=2.1710811984368*x       - we divide both sides of the equation by (2.1710811984368) to get x
0.47/2.1710811984368=x
0.216482=x
x=0.216482

now we have:
46.06% of 0.47=0.216482