52 is what percent of 1075 - 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 1075 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 1075, so we can write it down as 100%=1075.
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%=1075
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%=1075/52
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 1075

100%/x%=1075/52
(100/x)*x=(1075/52)*x       - we multiply both sides of the equation by x
100=20.673076923077*x       - we divide both sides of the equation by (20.673076923077) to get x
100/20.673076923077=x
4.8372093023256=x
x=4.8372093023256

now we have:
52 is 4.8372093023256% of 1075