50 is what percent of 50.5 - 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 50.5 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 50.5, so we can write it down as 100%=50.5.
4. We know, that x% equals 50 of the output value, so we can write it down as x%=50.
5. Now we have two simple equations:
1) 100%=50.5
2) x%=50
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%=50.5/50
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50 is what percent of 50.5

100%/x%=50.5/50
(100/x)*x=(50.5/50)*x       - we multiply both sides of the equation by x
100=1.01*x       - we divide both sides of the equation by (1.01) to get x
100/1.01=x
99.009900990099=x
x=99.009900990099

now we have:
50 is 99.009900990099% of 50.5