65.8 is what percent of 55.6 - 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 55.6 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 55.6, so we can write it down as 100%=55.6.
4. We know, that x% equals 65.8 of the output value, so we can write it down as x%=65.8.
5. Now we have two simple equations:
1) 100%=55.6
2) x%=65.8
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%=55.6/65.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.8 is what percent of 55.6

100%/x%=55.6/65.8
(100/x)*x=(55.6/65.8)*x       - we multiply both sides of the equation by x
100=0.84498480243161*x       - we divide both sides of the equation by (0.84498480243161) to get x
100/0.84498480243161=x
118.34532374101=x
x=118.34532374101

now we have:
65.8 is 118.34532374101% of 55.6