54.4 is what percent of 55.8 - 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 55.8 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 55.8, so we can write it down as 100%=55.8.
4. We know, that x% equals 54.4 of the output value, so we can write it down as x%=54.4.
5. Now we have two simple equations:
1) 100%=55.8
2) x%=54.4
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%=55.8/54.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.4 is what percent of 55.8

100%/x%=55.8/54.4
(100/x)*x=(55.8/54.4)*x       - we multiply both sides of the equation by x
100=1.0257352941176*x       - we divide both sides of the equation by (1.0257352941176) to get x
100/1.0257352941176=x
97.491039426523=x
x=97.491039426523

now we have:
54.4 is 97.491039426523% of 55.8