Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands		3 Months Ended
		Nov. 30, 2019	Nov. 24, 2018
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 1,641,230	$ 1,464,967
Other comprehensive income (loss)		984	(2,194)
Balance at end of period		1,676,008	1,539,498
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(24,640)	(21,116)
Other comprehensive income (loss) before reclassification		989	(2,282)
Amounts reclassified from accumulated other comprehensive loss		0	0
Other comprehensive income (loss)		989	(2,282)
Balance at end of period		(23,651)	(23,398)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	(9,239)	(4,135)
Other comprehensive income (loss) 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]	(9,239)	(4,135)
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	191	92
Other comprehensive income (loss) before reclassification	[1]	25	132
Amounts reclassified from accumulated other comprehensive loss	[1]	(30)	(44)
Other comprehensive income (loss)	[1]	(5)	88
Balance at end of period	[1]	186	180
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(33,688)	(25,159)
Other comprehensive income (loss) before reclassification		1,014	(2,150)
Amounts reclassified from accumulated other comprehensive loss		(30)	(44)
Other comprehensive income (loss)		984	(2,194)
Balance at end of period		$ (32,704)	$ (27,353)

[1] Amounts are shown net of tax.