While waiting at the Doctor's office, Sam played a game with the following rules:
- He rolled a fair six-sided dice.
- When he rolled an odd number, he marked that game as a loss.
- When he rolled an even number, another fair six-sided dice was rolled.
- If that second roll was the same number as the first roll, he marked that game as a win. Otherwise, the game was marked as a loss.
What is the probability, as a percentage rounded to the nearest integer, of winning the game?