What is 1200 percent of 3.8 - 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 3.8 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 3.8 is 100%, so we can write it down as 3.8=100%.
4. We know, that x is 1200% of the output value, so we can write it down as x=1200%.
5. Now we have two simple equations:
1) 3.8=100%
2) x=1200%
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:
3.8/x=100%/1200%
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 1200% of 3.8

3.8/x=100/1200
(3.8/x)*x=(100/1200)*x       - we multiply both sides of the equation by x
3.8=0.083333333333333*x       - we divide both sides of the equation by (0.083333333333333) to get x
3.8/0.083333333333333=x
45.6=x
x=45.6

now we have:
1200% of 3.8=45.6