What is 45.9 percent of 0.12 - 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 0.12 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 0.12 is 100%, so we can write it down as 0.12=100%.
4. We know, that x is 45.9% of the output value, so we can write it down as x=45.9%.
5. Now we have two simple equations:
1) 0.12=100%
2) x=45.9%
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:
0.12/x=100%/45.9%
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 45.9% of 0.12

0.12/x=100/45.9
(0.12/x)*x=(100/45.9)*x       - we multiply both sides of the equation by x
0.12=2.1786492374728*x       - we divide both sides of the equation by (2.1786492374728) to get x
0.12/2.1786492374728=x
0.05508=x
x=0.05508

now we have:
45.9% of 0.12=0.05508