53 is what percent of 10682 - 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 10682 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 10682, so we can write it down as 100%=10682.
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%=10682
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%=10682/53
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 10682

100%/x%=10682/53
(100/x)*x=(10682/53)*x       - we multiply both sides of the equation by x
100=201.54716981132*x       - we divide both sides of the equation by (201.54716981132) to get x
100/201.54716981132=x
0.49616176745928=x
x=0.49616176745928

now we have:
53 is 0.49616176745928% of 10682