1075.2 is what percent of 3840 - 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 3840 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 100% equals 3840, so we can write it down as 100%=3840.
4. We know, that x% equals 1075.2 of the output value, so we can write it down as x%=1075.2.
5. Now we have two simple equations:
1) 100%=3840
2) x%=1075.2
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:
100%/x%=3840/1075.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1075.2 is what percent of 3840

100%/x%=3840/1075.2
(100/x)*x=(3840/1075.2)*x       - we multiply both sides of the equation by x
100=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28

now we have:
1075.2 is 28% of 3840