55.25 is what percent of 65.6 - 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 65.6 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 65.6, so we can write it down as 100%=65.6.
4. We know, that x% equals 55.25 of the output value, so we can write it down as x%=55.25.
5. Now we have two simple equations:
1) 100%=65.6
2) x%=55.25
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%=65.6/55.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.25 is what percent of 65.6

100%/x%=65.6/55.25
(100/x)*x=(65.6/55.25)*x       - we multiply both sides of the equation by x
100=1.1873303167421*x       - we divide both sides of the equation by (1.1873303167421) to get x
100/1.1873303167421=x
84.22256097561=x
x=84.22256097561

now we have:
55.25 is 84.22256097561% of 65.6