What is 4.66 percent of 0.125 - 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 0.125 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 0.125 is 100%, so we can write it down as 0.125=100%.
4. We know, that x is 4.66% of the output value, so we can write it down as x=4.66%.
5. Now we have two simple equations:
1) 0.125=100%
2) x=4.66%
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:
0.125/x=100%/4.66%
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 4.66% of 0.125

0.125/x=100/4.66
(0.125/x)*x=(100/4.66)*x       - we multiply both sides of the equation by x
0.125=21.459227467811*x       - we divide both sides of the equation by (21.459227467811) to get x
0.125/21.459227467811=x
0.005825=x
x=0.005825

now we have:
4.66% of 0.125=0.005825