63.25 is what percent of 120.75 - 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 120.75 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 120.75, so we can write it down as 100%=120.75.
4. We know, that x% equals 63.25 of the output value, so we can write it down as x%=63.25.
5. Now we have two simple equations:
1) 100%=120.75
2) x%=63.25
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%=120.75/63.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.25 is what percent of 120.75

100%/x%=120.75/63.25
(100/x)*x=(120.75/63.25)*x       - we multiply both sides of the equation by x
100=1.9090909090909*x       - we divide both sides of the equation by (1.9090909090909) to get x
100/1.9090909090909=x
52.380952380952=x
x=52.380952380952

now we have:
63.25 is 52.380952380952% of 120.75