53 is what percent of 9306 - 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 9306 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 9306, so we can write it down as 100%=9306.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=9306
2) x%=53
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%=9306/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 9306

100%/x%=9306/53
(100/x)*x=(9306/53)*x       - we multiply both sides of the equation by x
100=175.58490566038*x       - we divide both sides of the equation by (175.58490566038) to get x
100/175.58490566038=x
0.56952503761014=x
x=0.56952503761014

now we have:
53 is 0.56952503761014% of 9306