52 is what percent of 2752 - 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 2752 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 2752, so we can write it down as 100%=2752.
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%=2752
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%=2752/52
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 2752

100%/x%=2752/52
(100/x)*x=(2752/52)*x       - we multiply both sides of the equation by x
100=52.923076923077*x       - we divide both sides of the equation by (52.923076923077) to get x
100/52.923076923077=x
1.8895348837209=x
x=1.8895348837209

now we have:
52 is 1.8895348837209% of 2752