3727.5 is what percent of 12425 - 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 12425 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 12425, so we can write it down as 100%=12425.
4. We know, that x% equals 3727.5 of the output value, so we can write it down as x%=3727.5.
5. Now we have two simple equations:
1) 100%=12425
2) x%=3727.5
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%=12425/3727.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3727.5 is what percent of 12425

100%/x%=12425/3727.5
(100/x)*x=(12425/3727.5)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
3727.5 is 30% of 12425