What is 50.2 percent of 50.9 - 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 50.9 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 50.9 is 100%, so we can write it down as 50.9=100%.
4. We know, that x is 50.2% of the output value, so we can write it down as x=50.2%.
5. Now we have two simple equations:
1) 50.9=100%
2) x=50.2%
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:
50.9/x=100%/50.2%
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 50.2% of 50.9

50.9/x=100/50.2
(50.9/x)*x=(100/50.2)*x       - we multiply both sides of the equation by x
50.9=1.99203187251*x       - we divide both sides of the equation by (1.99203187251) to get x
50.9/1.99203187251=x
25.5518=x
x=25.5518

now we have:
50.2% of 50.9=25.5518