54.48 is what percent of 55.22 - 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 55.22 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 55.22, so we can write it down as 100%=55.22.
4. We know, that x% equals 54.48 of the output value, so we can write it down as x%=54.48.
5. Now we have two simple equations:
1) 100%=55.22
2) x%=54.48
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%=55.22/54.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.48 is what percent of 55.22

100%/x%=55.22/54.48
(100/x)*x=(55.22/54.48)*x       - we multiply both sides of the equation by x
100=1.0135829662261*x       - we divide both sides of the equation by (1.0135829662261) to get x
100/1.0135829662261=x
98.659905831221=x
x=98.659905831221

now we have:
54.48 is 98.659905831221% of 55.22