Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($)		3 Months Ended
		Nov. 26, 2022	Nov. 27, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 1,915,871,000	$ 1,872,952,000
Other comprehensive income (loss)		(1,726,000)	(2,752,000)
Balance at end of period		1,941,966,000	1,894,901,000
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(24,803,000)	(17,801,000)
Other comprehensive (loss) income before reclassification		(1,778,000)	(2,799,000)
Amounts reclassified from accumulated other comprehensive loss		0	0
Other comprehensive income (loss)		(1,778,000)	(2,799,000)
Balance at end of period		(26,581,000)	(20,600,000)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	(452,000)	(7,066,000)
Other comprehensive (loss) income before reclassification	[1]	0	0
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0
Other comprehensive income (loss)	[1]	0	0
Balance at end of period	[1]	(452,000)	(7,066,000)
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	61,000	31,000
Other comprehensive (loss) income before reclassification	[1]	72,000	85,000
Amounts reclassified from accumulated other comprehensive loss	[1]	(20,000)	(38,000)
Other comprehensive income (loss)	[1]	52,000	47,000
Balance at end of period	[1]	113,000	78,000
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(24,290,000)	(24,836,000)
Other comprehensive (loss) income before reclassification		(1,706,000)	(2,714,000)
Amounts reclassified from accumulated other comprehensive loss		(20,000)	(38,000)
Other comprehensive income (loss)		(1,726,000)	(2,752,000)
Balance at end of period		$ (26,016,000)	$ (27,588,000)

[1] Amounts are shown net of tax