12.45 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 12.45 of the output value, so we can write it down as x%=12.45.
5. Now we have two simple equations:
1) 100%=30.48
2) x%=12.45
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%=30.48/12.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.45 is what percent of 30.48

100%/x%=30.48/12.45
(100/x)*x=(30.48/12.45)*x       - we multiply both sides of the equation by x
100=2.4481927710843*x       - we divide both sides of the equation by (2.4481927710843) to get x
100/2.4481927710843=x
40.846456692913=x
x=40.846456692913

now we have:
12.45 is 40.846456692913% of 30.48