50 is what percent of 80.5 - 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 80.5 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 80.5, so we can write it down as 100%=80.5.
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%=80.5
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%=80.5/50
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 80.5

100%/x%=80.5/50
(100/x)*x=(80.5/50)*x       - we multiply both sides of the equation by x
100=1.61*x       - we divide both sides of the equation by (1.61) to get x
100/1.61=x
62.111801242236=x
x=62.111801242236

now we have:
50 is 62.111801242236% of 80.5