Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands		3 Months Ended
		Nov. 28, 2020	Nov. 30, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 1,741,129	$ 1,641,230
Other comprehensive income		1,289	984
Balance at end of period		1,773,352	1,676,008
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(22,009)	(24,640)
Other comprehensive income (loss) before reclassification		1,310	989
Amounts reclassified from accumulated other comprehensive loss		0	0
Other comprehensive income		1,310	989
Balance at end of period		(20,699)	(23,651)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	(10,026)	(9,239)
Other comprehensive income (loss) before reclassification	[1]	0	0
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0
Other comprehensive income	[1]	0	0
Balance at end of period	[1]	(10,026)	(9,239)
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	65	191
Other comprehensive income (loss) before reclassification	[1]	(10)	25
Amounts reclassified from accumulated other comprehensive loss	[1]	(11)	(30)
Other comprehensive income	[1]	(21)	(5)
Balance at end of period	[1]	44	186
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(31,970)	(33,688)
Other comprehensive income (loss) before reclassification		1,300	1,014
Amounts reclassified from accumulated other comprehensive loss		(11)	(30)
Other comprehensive income		1,289	984
Balance at end of period		$ (30,681)	$ (32,704)

[1] Amounts are shown net of tax.