In order to convert a fraction into a percent, we need to divide the numerator by the denominator, that is,
[tex]\frac{3}{13}=0.230769[/tex]and then multiply this decimal result by 100,
[tex]\frac{3}{13}\times100=0.230769\times100=23.0769[/tex]Therefore, by rounding to the nearest hundreth, the answer is: 23.08 %