What is 50.4 percent of 285.6 - 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 285.6 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 285.6 is 100%, so we can write it down as 285.6=100%.
4. We know, that x is 50.4% of the output value, so we can write it down as x=50.4%.
5. Now we have two simple equations:
1) 285.6=100%
2) x=50.4%
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:
285.6/x=100%/50.4%
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 50.4% of 285.6

285.6/x=100/50.4
(285.6/x)*x=(100/50.4)*x       - we multiply both sides of the equation by x
285.6=1.984126984127*x       - we divide both sides of the equation by (1.984126984127) to get x
285.6/1.984126984127=x
143.9424=x
x=143.9424

now we have:
50.4% of 285.6=143.9424