What is 50.83 percent of 75 - 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 75 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 75 is 100%, so we can write it down as 75=100%.
4. We know, that x is 50.83% of the output value, so we can write it down as x=50.83%.
5. Now we have two simple equations:
1) 75=100%
2) x=50.83%
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:
75/x=100%/50.83%
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 50.83% of 75

75/x=100/50.83
(75/x)*x=(100/50.83)*x       - we multiply both sides of the equation by x
75=1.9673421207948*x       - we divide both sides of the equation by (1.9673421207948) to get x
75/1.9673421207948=x
38.1225=x
x=38.1225

now we have:
50.83% of 75=38.1225