GOODWILL AND OTHER INTANGIBLE ASSETS - Schedule of Other Intangible Assets (Details) - USD ($) $ in Thousands	Oct. 03, 2025	Sep. 27, 2024
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization	$ (214,835)	$ (187,699)
Indefinite-Lived Intangible Assets [Line Items]
Gross Amount	403,672	400,472
Net Amount	188,837	212,773
Trade names
Indefinite-Lived Intangible Assets [Line Items]
Gross Amount	16,070	16,585
Customer relationship assets
Finite-Lived Intangible Assets [Line Items]
Gross Amount	387,602	383,887
Accumulated Amortization	(214,835)	(187,699)
Net Amount	$ 172,767	$ 196,188