12.4 is what percent of 29 - 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 29 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 29, so we can write it down as 100%=29.
4. We know, that x% equals 12.4 of the output value, so we can write it down as x%=12.4.
5. Now we have two simple equations:
1) 100%=29
2) x%=12.4
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%=29/12.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.4 is what percent of 29

100%/x%=29/12.4
(100/x)*x=(29/12.4)*x       - we multiply both sides of the equation by x
100=2.3387096774194*x       - we divide both sides of the equation by (2.3387096774194) to get x
100/2.3387096774194=x
42.758620689655=x
x=42.758620689655

now we have:
12.4 is 42.758620689655% of 29