55.2 is what percent of 311 - 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 311 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 311, so we can write it down as 100%=311.
4. We know, that x% equals 55.2 of the output value, so we can write it down as x%=55.2.
5. Now we have two simple equations:
1) 100%=311
2) x%=55.2
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%=311/55.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.2 is what percent of 311

100%/x%=311/55.2
(100/x)*x=(311/55.2)*x       - we multiply both sides of the equation by x
100=5.6340579710145*x       - we divide both sides of the equation by (5.6340579710145) to get x
100/5.6340579710145=x
17.749196141479=x
x=17.749196141479

now we have:
55.2 is 17.749196141479% of 311