in the second column of both tables, x stands for the mole fraction of ferulic acid; in other words, what proportion of the molecules in solution is ferulic acid
e.g. the first line states that at 298.2 Kelvin (25 °C), 8.03% of the molecules in the solution are ferulic acid, and 91.97% are ethyl lactate
to convert this to % w/w, you have to multiply the mole fraction of each component by its molecular weight, then determine what proportion of the total weight is ferulic acid
0.0803 mol × 194 g/mol = 15.5782 g ferulic acid
0.9197 mol × 118 g/mol = 108.5246 g ethyl lactate
total weight = (15.5782 + 108.5246) g = 124.1028 g
%w/w ferulic acid = 15.5782 g ÷ 124.1028 g = 0.12553… = 12.6%
@Belassi that’s academics for you - I took it to mean a mixture of 98.6% w/w ethyl lactate and 1.4% w/w water (as a residual impurity from the manufacturing process)