52.8 is what percent of 269 - 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 269 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 269, so we can write it down as 100%=269.
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%=269
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%=269/52.8
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 269

100%/x%=269/52.8
(100/x)*x=(269/52.8)*x       - we multiply both sides of the equation by x
100=5.094696969697*x       - we divide both sides of the equation by (5.094696969697) to get x
100/5.094696969697=x
19.628252788104=x
x=19.628252788104

now we have:
52.8 is 19.628252788104% of 269