53 is what percent of 405 - 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 405 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 405, so we can write it down as 100%=405.
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%=405
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%=405/53
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 405

100%/x%=405/53
(100/x)*x=(405/53)*x       - we multiply both sides of the equation by x
100=7.6415094339623*x       - we divide both sides of the equation by (7.6415094339623) to get x
100/7.6415094339623=x
13.086419753086=x
x=13.086419753086

now we have:
53 is 13.086419753086% of 405