A topical composition containing from 0.5% to 15% by weight of at least one acid having a solubility, in water, at room temperature, of less than 0.002 g/ml, and from 10% to 99% by weight of at least one organic compound, liquid at room temperature, having at least one fatty group with a carbon chain length of from 12 to 24 carbon atoms, all weights being based on the weight of the composition.