Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands		3 Months Ended
		Nov. 30, 2024	Nov. 25, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 2,108,511	$ 2,003,960
Other comprehensive loss		(4,895)	(163)
Balance at end of period		2,133,647	2,040,173
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(25,966)	(26,504)
Other comprehensive (loss) income before reclassification		(4,936)	(151)
Amounts reclassified from accumulated other comprehensive loss		0	0
Other comprehensive loss		(4,936)	(151)
Balance at end of period		(30,902)	(26,655)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	2,234	2,582
Other comprehensive (loss) income before reclassification	[1]	0	0
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0
Other comprehensive loss	[1]	0	0
Balance at end of period	[1]	2,234	2,582
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	88	161
Other comprehensive (loss) income before reclassification	[1]	72	12
Amounts reclassified from accumulated other comprehensive loss	[1]	(31)	(24)
Other comprehensive loss	[1]	41	(12)
Balance at end of period	[1]	129	149
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(23,644)	(23,761)
Other comprehensive (loss) income before reclassification		(4,864)	(139)
Amounts reclassified from accumulated other comprehensive loss		(31)	(24)
Other comprehensive loss		(4,895)	(163)
Balance at end of period		$ (28,539)	$ (23,924)

[1] Amounts are shown net of tax