Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands		12 Months Ended
		Aug. 30, 2025	Aug. 31, 2024	Aug. 26, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 2,108,511	$ 2,003,960	$ 1,915,871
Change during the year		1,859	117	529
Balance at end of period		2,168,957	2,108,511	2,003,960
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(25,966)	(26,504)
Change during the year		(10)	538
Balance at end of period		(25,956)	(25,966)	(26,504)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	2,234	2,582
Change during the year	[1]	1,877	(348)
Balance at end of period	[1]	4,111	2,234	2,582
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	88	161
Change during the year	[1]	(28)	(73)
Balance at end of period	[1]	60	88	161
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(23,644)	(23,761)	(24,290)
Change during the year		1,859	117
Balance at end of period		$ (21,785)	$ (23,644)	$ (23,761)

[1] Amounts are shown net of tax.