Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands		3 Months Ended		6 Months Ended
		Mar. 01, 2025	Feb. 24, 2024	Mar. 01, 2025	Feb. 24, 2024
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 2,133,647	$ 2,040,173	$ 2,108,511	$ 2,003,960
Other comprehensive (loss) income		(4,413)	885	(9,308)	722
Balance at end of period		2,143,556	2,049,685	2,143,556	2,049,685
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(30,902)	(26,655)	(25,966)	(26,504)
Other comprehensive (loss) income before reclassification		(4,438)	919	(9,374)	768
Amounts reclassified from accumulated other comprehensive loss		0	0	0	0
Other comprehensive (loss) income		(4,438)	919	(9,374)	768
Balance at end of period		(35,340)	(25,736)	(35,340)	(25,736)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	2,234	2,582	2,234	2,582
Other comprehensive (loss) income before reclassification	[1]	0	0	0	0
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0	0	0
Other comprehensive (loss) income	[1]	0	0	0	0
Balance at end of period	[1]	2,234	2,582	2,234	2,582
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	129	149	88	161
Other comprehensive (loss) income before reclassification	[1]	67	(14)	138	(2)
Amounts reclassified from accumulated other comprehensive loss	[1]	(41)	(20)	(72)	(44)
Other comprehensive (loss) income	[1]	25	(34)	66	(46)
Balance at end of period	[1]	154	115	154	115
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(28,539)	(23,924)	(23,644)	(23,761)
Other comprehensive (loss) income before reclassification		(4,371)	905	(9,236)	766
Amounts reclassified from accumulated other comprehensive loss		(41)	(20)	(72)	(44)
Other comprehensive (loss) income		(4,413)	885	(9,308)	722
Balance at end of period		$ (32,952)	$ (23,039)	$ (32,952)	$ (23,039)

[1] Amounts are shown net of tax