53 is what percent of 249 - 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 249 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 249, so we can write it down as 100%=249.
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%=249
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%=249/53
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 249

100%/x%=249/53
(100/x)*x=(249/53)*x       - we multiply both sides of the equation by x
100=4.6981132075472*x       - we divide both sides of the equation by (4.6981132075472) to get x
100/4.6981132075472=x
21.285140562249=x
x=21.285140562249

now we have:
53 is 21.285140562249% of 249