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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

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