50 is what percent of 8416 - 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 8416 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 8416, so we can write it down as 100%=8416.
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%=8416
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%=8416/50
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 8416

100%/x%=8416/50
(100/x)*x=(8416/50)*x       - we multiply both sides of the equation by x
100=168.32*x       - we divide both sides of the equation by (168.32) to get x
100/168.32=x
0.59410646387833=x
x=0.59410646387833

now we have:
50 is 0.59410646387833% of 8416