What is 120 percent of 38.4 - 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 38.4 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 38.4 is 100%, so we can write it down as 38.4=100%.
4. We know, that x is 120% of the output value, so we can write it down as x=120%.
5. Now we have two simple equations:
1) 38.4=100%
2) x=120%
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:
38.4/x=100%/120%
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 120% of 38.4

38.4/x=100/120
(38.4/x)*x=(100/120)*x       - we multiply both sides of the equation by x
38.4=0.83333333333333*x       - we divide both sides of the equation by (0.83333333333333) to get x
38.4/0.83333333333333=x
46.08=x
x=46.08

now we have:
120% of 38.4=46.08