Other Intangible Assets - Components of Gross and Net Acquired Intangible Assets (Details) - USD ($) $ in Thousands	Mar. 27, 2021	Sep. 26, 2020	Mar. 28, 2020
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	$ 264,600	$ 264,600	$ 264,600
Accumulated Amortization	(106,700)	(99,900)	(93,200)
Accumulated Impairment	(29,700)	(29,800)	(29,700)
Net Carrying Value	128,229	134,924	141,686
Marketing-related intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	91,200	91,200	91,200
Accumulated Amortization	(18,100)	(17,600)	(17,100)
Accumulated Impairment	(26,000)	(26,000)	(26,000)
Net Carrying Value	47,100	47,600	48,100
Other acquired intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	33,100	33,100	33,100
Accumulated Amortization	(19,100)	(18,200)	(17,300)
Accumulated Impairment	(1,200)	(1,200)	(1,200)
Net Carrying Value	12,800	13,600	14,600
Amortizable | Marketing-related intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	20,600	20,600	20,600
Accumulated Amortization	(18,100)	(17,600)	(17,100)
Accumulated Impairment	0	0	0
Net Carrying Value	2,500	3,000	3,500
Amortizable | Customer-related intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	140,300	140,300	140,300
Accumulated Amortization	(69,500)	(64,100)	(58,800)
Accumulated Impairment	(2,500)	(2,500)	(2,500)
Net Carrying Value	68,300	73,700	79,000
Amortizable | Other acquired intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	26,000	26,000	26,000
Accumulated Amortization	(19,100)	(18,200)	(17,300)
Accumulated Impairment	0	0	0
Net Carrying Value	6,900	7,800	8,700
Nonamortizable | Marketing-related intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	70,600	70,600	70,600
Accumulated Impairment	(26,000)	(26,000)	(26,000)
Net Carrying Value	44,600	44,600	44,600
Nonamortizable | Other acquired intangible assets
Acquired Indefinite-lived Intangible Assets [Line Items]
Gross	7,100	7,100	7,100
Accumulated Impairment	(1,200)	(1,200)	(1,200)
Net Carrying Value	$ 5,900	$ 5,900	$ 5,900