Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands		3 Months Ended
		Nov. 25, 2023	Nov. 26, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 2,003,960	$ 1,915,871
Other comprehensive (loss) income		(163)	(1,726)
Balance at end of period		2,040,173	1,941,966
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(26,504)	(24,803)
Other comprehensive (loss) income before reclassification		(151)	(1,778)
Amounts reclassified from accumulated other comprehensive loss		0	0
Other comprehensive (loss) income		(151)	(1,778)
Balance at end of period		(26,655)	(26,581)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	2,582	452
Other comprehensive (loss) income before reclassification	[1]	0	0
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0
Other comprehensive (loss) income	[1]	0	0
Balance at end of period	[1]	2,582	452
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	161	61
Other comprehensive (loss) income before reclassification	[1]	12	72
Amounts reclassified from accumulated other comprehensive loss	[1]	(24)	(20)
Other comprehensive (loss) income	[1]	(12)	52
Balance at end of period	[1]	149	113
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(23,761)	(24,290)
Other comprehensive (loss) income before reclassification		(139)	(1,706)
Amounts reclassified from accumulated other comprehensive loss		(24)	(20)
Other comprehensive (loss) income		(163)	(1,726)
Balance at end of period		$ (23,924)	$ (26,016)

[1] Amounts are shown net of tax