Share-based Compensation - Summary of Stock Options and Stock Appreciation Rights Activity (Details)	12 Months Ended
	Aug. 25, 2018 $ / shares shares
Number of Shares
Outstanding at beginning of period (in shares) | shares	600,606
Granted (in shares) | shares	124,089
Exercised (in shares) | shares	(109,775)
Forfeited (in shares) | shares	(28,994)
Outstanding at end of period (in shares) | shares	585,926
Exercisable at end of period (in shares) | shares	133,681
Weighted Average Exercise Price
Outstanding at beginning of period (in dollars per share) | $ / shares	$ 94.98
Granted (in dollars per share) | $ / shares	157.13
Exercised (in dollars per share) | $ / shares	65.40
Forfeited (in dollars per share) | $ / shares	152.12
Outstanding at end of period (in dollars per share) | $ / shares	110.86
Exercisable at end of period (in dollars per share) | $ / shares	$ 87.68