Lugol's iodine is a solution discovered by the physician Jaques Lugol, consisting of 10g Potassium Iodide(KI) and 5g Iodine (I_2) and it's color is brownish.
The equivalent solution to Lugol's iodine solution is also called white iodine. Usually, Lugol's iodine solution is made from elemental Iodine, Potassium Iodide and distilled water, but there exists a modified version to Lugol's solution and this version contains Sodium Iodide instead of Potassium Iodide.
The brownish color of Lugol's iodine is given by the presence of the salt Potassium Iodide that is oxidized by an oxidation agent to form brown iodine solution, since Iodine is brown.
Hence, Lugol's iodine solution color is transparent brown and the white color can only be found in the Sodium Iodide salt, which is white as in Sodium Chloride salt, also known as table salt.