52 is what percent of 495 - 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 495 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 495, so we can write it down as 100%=495.
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%=495
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%=495/52
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 495

100%/x%=495/52
(100/x)*x=(495/52)*x       - we multiply both sides of the equation by x
100=9.5192307692308*x       - we divide both sides of the equation by (9.5192307692308) to get x
100/9.5192307692308=x
10.505050505051=x
x=10.505050505051

now we have:
52 is 10.505050505051% of 495