Accumulated Other Comprehensive Loss - Schedule of Components of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 29, 2026	Aug. 30, 2025
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 2,168,957	$ 2,108,511
Change during the year	(4)	1,859
Ending balance	2,229,125	2,168,957
Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(21,785)	(23,644)
Ending balance	(21,789)	(21,785)
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(25,956)	(25,966)
Change during the year	(677)	10
Ending balance	(26,633)	(25,956)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	4,111	2,234
Change during the year	733	1,877
Ending balance	4,844	4,111
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	60	88
Change during the year	(60)	(28)
Ending balance	$ 0	$ 60