65.5 is what percent of 125.5 - 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 125.5 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 125.5, so we can write it down as 100%=125.5.
4. We know, that x% equals 65.5 of the output value, so we can write it down as x%=65.5.
5. Now we have two simple equations:
1) 100%=125.5
2) x%=65.5
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%=125.5/65.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.5 is what percent of 125.5

100%/x%=125.5/65.5
(100/x)*x=(125.5/65.5)*x       - we multiply both sides of the equation by x
100=1.9160305343511*x       - we divide both sides of the equation by (1.9160305343511) to get x
100/1.9160305343511=x
52.191235059761=x
x=52.191235059761

now we have:
65.5 is 52.191235059761% of 125.5