12685.75 is what percent of 45240 - 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 45240 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 45240, so we can write it down as 100%=45240.
4. We know, that x% equals 12685.75 of the output value, so we can write it down as x%=12685.75.
5. Now we have two simple equations:
1) 100%=45240
2) x%=12685.75
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%=45240/12685.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12685.75 is what percent of 45240

100%/x%=45240/12685.75
(100/x)*x=(45240/12685.75)*x       - we multiply both sides of the equation by x
100=3.5662061762214*x       - we divide both sides of the equation by (3.5662061762214) to get x
100/3.5662061762214=x
28.041003536693=x
x=28.041003536693

now we have:
12685.75 is 28.041003536693% of 45240