Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands		12 Months Ended
		Aug. 31, 2019	Aug. 25, 2018	Aug. 26, 2017
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 1,464,967	$ 1,453,192	$ 1,364,781
Change during the year		(8,529)	(3,641)	7,431
Balance at end of period		1,641,230	1,464,967	1,453,192
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(21,116)	(15,932)
Change during the year		(3,524)	(5,184)
Balance at end of period		(24,640)	(21,116)	(15,932)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	(4,135)	(5,477)
Change during the year	[1]	(5,104)	1,342
Balance at end of period	[1]	(9,239)	(4,135)	(5,477)
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	92	(109)
Change during the year	[1]	99	201
Balance at end of period	[1]	191	92	(109)
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(25,159)	(21,518)	(28,949)
Change during the year		(8,529)	(3,641)
Balance at end of period		$ (33,688)	$ (25,159)	$ (21,518)

[1] Amounts are shown net of tax.