What is 46 percent of 0.107 - 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 0.107 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 0.107 is 100%, so we can write it down as 0.107=100%.
4. We know, that x is 46% of the output value, so we can write it down as x=46%.
5. Now we have two simple equations:
1) 0.107=100%
2) x=46%
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:
0.107/x=100%/46%
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% of 0.107

0.107/x=100/46
(0.107/x)*x=(100/46)*x       - we multiply both sides of the equation by x
0.107=2.1739130434783*x       - we divide both sides of the equation by (2.1739130434783) to get x
0.107/2.1739130434783=x
0.04922=x
x=0.04922

now we have:
46% of 0.107=0.04922