249.37 is what percent of 1788.24 - 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 1788.24 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 1788.24, so we can write it down as 100%=1788.24.
4. We know, that x% equals 249.37 of the output value, so we can write it down as x%=249.37.
5. Now we have two simple equations:
1) 100%=1788.24
2) x%=249.37
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%=1788.24/249.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 249.37 is what percent of 1788.24

100%/x%=1788.24/249.37
(100/x)*x=(1788.24/249.37)*x       - we multiply both sides of the equation by x
100=7.1710309981153*x       - we divide both sides of the equation by (7.1710309981153) to get x
100/7.1710309981153=x
13.944996197378=x
x=13.944996197378

now we have:
249.37 is 13.944996197378% of 1788.24