12 is what percent of 44.18 - 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 44.18 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 44.18, so we can write it down as 100%=44.18.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=44.18
2) x%=12
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%=44.18/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 44.18

100%/x%=44.18/12
(100/x)*x=(44.18/12)*x       - we multiply both sides of the equation by x
100=3.6816666666667*x       - we divide both sides of the equation by (3.6816666666667) to get x
100/3.6816666666667=x
27.161611588954=x
x=27.161611588954

now we have:
12 is 27.161611588954% of 44.18