52 is what percent of 1328 - 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 1328 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 1328, so we can write it down as 100%=1328.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=1328
2) x%=52
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%=1328/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 1328

100%/x%=1328/52
(100/x)*x=(1328/52)*x       - we multiply both sides of the equation by x
100=25.538461538462*x       - we divide both sides of the equation by (25.538461538462) to get x
100/25.538461538462=x
3.9156626506024=x
x=3.9156626506024

now we have:
52 is 3.9156626506024% of 1328