55.5 is what percent of 65.2 - 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 65.2 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 65.2, so we can write it down as 100%=65.2.
4. We know, that x% equals 55.5 of the output value, so we can write it down as x%=55.5.
5. Now we have two simple equations:
1) 100%=65.2
2) x%=55.5
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%=65.2/55.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.5 is what percent of 65.2

100%/x%=65.2/55.5
(100/x)*x=(65.2/55.5)*x       - we multiply both sides of the equation by x
100=1.1747747747748*x       - we divide both sides of the equation by (1.1747747747748) to get x
100/1.1747747747748=x
85.122699386503=x
x=85.122699386503

now we have:
55.5 is 85.122699386503% of 65.2