Lugol's iodine, also known as Lugol's solution, first made in 1829, is a solution of iodine named after the French physician J.G.A. Lugol. It consists of 5% iodine (I2) and 10% potassium iodide (KI) in distilled water with a total iodine content of 130 mg/mL. Potassium iodide is added to render the iodine water-soluble.
http://en.wikipedia.org/wiki/Lugol%27s_iodine
Lugol's Iodine is basically a specific concentration/mixture of Iodine/Iodide...
Kent's Iodine is probably much weaker than Lugol's, but I don't know for sure how much weaker...