Earnings per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Earnings Per Share [Abstract]
Net income	$ 390,636	$ 281,871	$ 61,442
Weighted average common shares outstanding (in shares)	32,475	33,528	33,236
Dilutive impact of stock compensation awards (in shares)	510	375	218
Dilutive impact of convertible notes (in shares)	0	153	0
Weighted average common shares outstanding, assuming dilution (in shares)	32,985	34,056	33,454
Anti-dilutive securities excluded from weighted average diluted common shares outstanding (in shares)	159	49	39
Basic earnings per common share (in dollars per share)	$ 12.03	$ 8.41	$ 1.85
Diluted earnings per common share (in dollars per share)	$ 11.84	$ 8.28	$ 1.84