52 is what percent of 63 - 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 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, so we can write it down as 100%=63.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=63
2) x%=52
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%=63/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 63

100%/x%=63/52
(100/x)*x=(63/52)*x       - we multiply both sides of the equation by x
100=1.2115384615385*x       - we divide both sides of the equation by (1.2115384615385) to get x
100/1.2115384615385=x
82.539682539683=x
x=82.539682539683

now we have:
52 is 82.539682539683% of 63