13725 is what percent of 12576 - 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 12576 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 12576, so we can write it down as 100%=12576.
4. We know, that x% equals 13725 of the output value, so we can write it down as x%=13725.
5. Now we have two simple equations:
1) 100%=12576
2) x%=13725
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%=12576/13725
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13725 is what percent of 12576

100%/x%=12576/13725
(100/x)*x=(12576/13725)*x       - we multiply both sides of the equation by x
100=0.91628415300546*x       - we divide both sides of the equation by (0.91628415300546) to get x
100/0.91628415300546=x
109.13645038168=x
x=109.13645038168

now we have:
13725 is 109.13645038168% of 12576