What is 0.38571428571 percent of 120 - 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 120 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 120 is 100%, so we can write it down as 120=100%.
4. We know, that x is 0.38571428571% of the output value, so we can write it down as x=0.38571428571%.
5. Now we have two simple equations:
1) 120=100%
2) x=0.38571428571%
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:
120/x=100%/0.38571428571%
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 0.38571428571% of 120

120/x=100/0.38571428571
(120/x)*x=(100/0.38571428571)*x       - we multiply both sides of the equation by x
120=259.25925926214*x       - we divide both sides of the equation by (259.25925926214) to get x
120/259.25925926214=x
0.462857142852=x
x=0.462857142852

now we have:
0.38571428571% of 120=0.462857142852