12.8 is what percent of 42 - 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 42 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 42, so we can write it down as 100%=42.
4. We know, that x% equals 12.8 of the output value, so we can write it down as x%=12.8.
5. Now we have two simple equations:
1) 100%=42
2) x%=12.8
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%=42/12.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.8 is what percent of 42

100%/x%=42/12.8
(100/x)*x=(42/12.8)*x       - we multiply both sides of the equation by x
100=3.28125*x       - we divide both sides of the equation by (3.28125) to get x
100/3.28125=x
30.47619047619=x
x=30.47619047619

now we have:
12.8 is 30.47619047619% of 42