12250.35 is what percent of 12730.2 - 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 12730.2 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 12730.2, so we can write it down as 100%=12730.2.
4. We know, that x% equals 12250.35 of the output value, so we can write it down as x%=12250.35.
5. Now we have two simple equations:
1) 100%=12730.2
2) x%=12250.35
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%=12730.2/12250.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12250.35 is what percent of 12730.2

100%/x%=12730.2/12250.35
(100/x)*x=(12730.2/12250.35)*x       - we multiply both sides of the equation by x
100=1.0391703094197*x       - we divide both sides of the equation by (1.0391703094197) to get x
100/1.0391703094197=x
96.2306169581=x
x=96.2306169581

now we have:
12250.35 is 96.2306169581% of 12730.2