52.8 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
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%=220
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%=220/52.8
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 220

100%/x%=220/52.8
(100/x)*x=(220/52.8)*x       - we multiply both sides of the equation by x
100=4.1666666666667*x       - we divide both sides of the equation by (4.1666666666667) to get x
100/4.1666666666667=x
24=x
x=24

now we have:
52.8 is 24% of 220