What is 96.875 percent of 50 - 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 50 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 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 96.875% of the output value, so we can write it down as x=96.875%.
5. Now we have two simple equations:
1) 50=100%
2) x=96.875%
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:
50/x=100%/96.875%
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 96.875% of 50

50/x=100/96.875
(50/x)*x=(100/96.875)*x       - we multiply both sides of the equation by x
50=1.0322580645161*x       - we divide both sides of the equation by (1.0322580645161) to get x
50/1.0322580645161=x
48.4375=x
x=48.4375

now we have:
96.875% of 50=48.4375