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INTANGIBLE ASSETS - Summary of Activity in Intangible Assets and Goodwill (Details) - USD ($) $ in Thousands | Mar. 29, 2024 | Sep. 29, 2023
--- | --- | ---
Indefinite-lived Intangible Assets [Line Items] |  |
Accumulated Amortization | $ (422,701) | $ (405,546)
Total | 89,613 |
Intangible assets | 515,714 | 472,540
Intangible assets, total | 93,013 | 66,994
Trade Names |  |
Indefinite-lived Intangible Assets [Line Items] |  |
Accumulated Amortization | (292) | (161)
Intangible assets | 5,200 | 5,200
Intangible assets, total | 4,908 | 5,039
Indefinite lived intangible assets | 3,400 | 3,400
Acquired technology |  |
Indefinite-lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 213,012 | 191,369
Accumulated Amortization | (182,670) | (179,558)
Total | 30,342 | 11,811
Customer relationships |  |
Indefinite-lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 274,652 | 267,621
Accumulated Amortization | (234,626) | (225,827)
Total | 40,026 | 41,794
Favorable Contracts |  |
Indefinite-lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 14,500 |
Accumulated Amortization | (3,026) |
Total | 11,474 |
Internal Use Software |  |
Indefinite-lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 8,350 | 8,350
Accumulated Amortization | (2,087) | 0
Total | $ 6,263 | $ 8,350

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