50 is what percent of 63.47 - 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 63.47 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 63.47, so we can write it down as 100%=63.47.
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%=63.47
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%=63.47/50
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 63.47

100%/x%=63.47/50
(100/x)*x=(63.47/50)*x       - we multiply both sides of the equation by x
100=1.2694*x       - we divide both sides of the equation by (1.2694) to get x
100/1.2694=x
78.77737513786=x
x=78.77737513786

now we have:
50 is 78.77737513786% of 63.47