13.8 is what percent of 29.96 - 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 29.96 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 29.96, so we can write it down as 100%=29.96.
4. We know, that x% equals 13.8 of the output value, so we can write it down as x%=13.8.
5. Now we have two simple equations:
1) 100%=29.96
2) x%=13.8
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%=29.96/13.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.8 is what percent of 29.96

100%/x%=29.96/13.8
(100/x)*x=(29.96/13.8)*x       - we multiply both sides of the equation by x
100=2.1710144927536*x       - we divide both sides of the equation by (2.1710144927536) to get x
100/2.1710144927536=x
46.061415220294=x
x=46.061415220294

now we have:
13.8 is 46.061415220294% of 29.96