52.8 is what percent of 550 - 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 550 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 550, so we can write it down as 100%=550.
4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.
5. Now we have two simple equations:
1) 100%=550
2) x%=52.8
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%=550/52.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.8 is what percent of 550

100%/x%=550/52.8
(100/x)*x=(550/52.8)*x       - we multiply both sides of the equation by x
100=10.416666666667*x       - we divide both sides of the equation by (10.416666666667) to get x
100/10.416666666667=x
9.6=x
x=9.6

now we have:
52.8 is 9.6% of 550