Consolidated Statements of Changes in Shareholders' Equity - USD ($) $ in Thousands	Total	Common Shares	Additional Paid-In Capital	Retained Earnings	Accumulated Other Comprehensive Income (Loss)	Treasury Stock
Beginning balance (in shares) at Aug. 25, 2018		51,776,000				(20,243,000)
Balance at beginning of year at Aug. 25, 2018	$ 534,445	$ 25,888	$ 86,223	$ 768,816	$ 892	$ (347,374)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock-based compensation	7,075		6,993			$ 82
Stock-based compensation, net of forfeitures (in shares)						5,000
Issuance of stock	2,176		(2,031)			$ 4,207
Issuance of stock (in shares)						244,000
Repurchase of common stock (in shares)						(268,000)
Repurchase of common stock	(8,171)					$ (8,171)
Common stock dividends declared	(13,728)			(13,728)
Total comprehensive income	(1,383)				(1,383)
Net income	111,798			111,798
Ending balance (in shares) at Aug. 31, 2019		51,776,000				(20,262,000)
Balance at end of year at Aug. 31, 2019	632,212	$ 25,888	91,185	866,886	(491)	$ (351,256)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock-based compensation	6,475		6,446			$ 29
Stock-based compensation, net of forfeitures (in shares)						0
Issuance of stock	1,200		(1,813)			$ 3,013
Issuance of stock (in shares)						174,000
Issuance of stock for acquisition	92,572		57,811			$ 34,761
Issuance of stock for acquisition (in shares)						2,000,000
Repurchase of common stock (in shares)						(45,000)
Repurchase of common stock	(1,844)					$ (1,844)
Common stock dividends declared	(14,718)			(14,718)
Total comprehensive income	(35)				(35)
Equity component of convertible senior notes and offering costs, net of tax of $20,840	61,335		61,335
Convertible note hedge purchase, net of tax of $17,417	(53,383)		(53,383)
Issuance of warrants	42,210		42,210
Net income	$ 61,442			61,442
Ending balance (in shares) at Aug. 29, 2020	51,776,000	51,776,000				(18,133,000)
Balance at end of year at Aug. 29, 2020	$ 827,466	$ 25,888	203,791	913,610	(526)	$ (315,297)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock-based compensation	15,347		15,323			$ 24
Stock-based compensation, net of forfeitures (in shares)						1,000
Issuance of stock	2,298		(624)			$ 2,922
Issuance of stock (in shares)						166,000
Repurchase of common stock (in shares)						(747,000)
Repurchase of common stock	(47,589)					$ (47,589)
Common stock dividends declared	(22,485)			(22,485)
Total comprehensive income	35				35
Net income	$ 281,871			281,871
Ending balance (in shares) at Aug. 28, 2021	51,776,000	51,776,000				(18,713,000)
Balance at end of year at Aug. 28, 2021	$ 1,056,943	$ 25,888	$ 218,490	$ 1,172,996	$ (491)	$ (359,940)