In Greek legend, it was Alexander III (Alexander the Great) who cut the Gordian Knot. According to popular myth, this knot was to be untied only by the future conqueror of Asia. In the most popular account, Alexander sliced through the knot with his sword. But, in a few other versions, he found the solution either by cutting into the knot or by drawing out the pole. Alexander performed the act because he was in need of an omen to prove to his troops and his enemies that the outcome of his mission to conquer the known world was possible.

Now, the phrase “cutting the Gordian knot” has thus come to denote a bold solution to a complicated problem.

More Info: en.wikipedia.org