Other Intangible Assets - Components of Gross and Net Acquired Intangible Assets (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Sep. 24, 2022	Sep. 25, 2021
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	$ 737,800	$ 737,800	$ 280,600
Accumulated Amortization	(199,400)	(164,900)	(116,400)
Accumulated Impairment	(41,200)	(29,800)	(29,800)
Net Carrying Value	497,228	543,210	134,400
Marketing-Related Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	274,600	274,600	92,700
Accumulated Amortization	(21,500)	(20,500)	(19,000)
Accumulated Impairment	(29,400)	(26,000)	(26,000)
Net Carrying Value	223,700	228,000	47,700
Other Acquired Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	46,800	46,800	44,300
Accumulated Amortization	(30,500)	(26,600)	(22,000)
Accumulated Impairment	(1,500)	(1,200)	(1,200)
Net Carrying Value	14,800	19,100	21,100
Amortizable | Marketing-Related Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	22,100	22,100	22,100
Accumulated Amortization	(21,500)	(20,500)	(19,000)
Accumulated Impairment	0	0	0
Net Carrying Value	600	1,500	3,100
Amortizable | Customer-Related Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	416,400	416,400	143,600
Accumulated Amortization	(147,400)	(117,800)	(75,400)
Accumulated Impairment	(10,300)	(2,500)	(2,500)
Net Carrying Value	258,800	296,100	65,700
Amortizable | Other Acquired Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	39,700	39,700	37,200
Accumulated Amortization	(30,500)	(26,600)	(22,000)
Accumulated Impairment	(300)	0	0
Net Carrying Value	8,900	13,200	15,200
Nonamortizable | Marketing-Related Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	252,500	252,500	70,600
Accumulated Amortization	0	0	0
Accumulated Impairment	(29,400)	(26,000)	(26,000)
Net Carrying Value	223,100	226,500	44,600
Nonamortizable | Other Acquired Intangible Assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	7,100	7,100	7,100
Accumulated Amortization	0	0	0
Accumulated Impairment	(1,200)	(1,200)	(1,200)
Net Carrying Value	$ 5,900	$ 5,900	$ 5,900