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

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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