12.54 is what percent of 30.48 - 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 30.48 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 30.48, so we can write it down as 100%=30.48.
4. We know, that x% equals 12.54 of the output value, so we can write it down as x%=12.54.
5. Now we have two simple equations:
1) 100%=30.48
2) x%=12.54
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%=30.48/12.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.54 is what percent of 30.48

100%/x%=30.48/12.54
(100/x)*x=(30.48/12.54)*x       - we multiply both sides of the equation by x
100=2.4306220095694*x       - we divide both sides of the equation by (2.4306220095694) to get x
100/2.4306220095694=x
41.141732283465=x
x=41.141732283465

now we have:
12.54 is 41.141732283465% of 30.48