52.8 is what percent of 273 - 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 273 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 273, so we can write it down as 100%=273.
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%=273
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%=273/52.8
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 273

100%/x%=273/52.8
(100/x)*x=(273/52.8)*x       - we multiply both sides of the equation by x
100=5.1704545454545*x       - we divide both sides of the equation by (5.1704545454545) to get x
100/5.1704545454545=x
19.340659340659=x
x=19.340659340659

now we have:
52.8 is 19.340659340659% of 273