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Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 29, 2024 | Sep. 30, 2023
--- | --- | ---
Finite Lived Intangible Assets [Line Items] |  |  |
Other intangible assets, gross |  | $ 626,213 | $ 620,254
Accumulated amortization |  | (548,833) | (539,701)
Other intangible assets, net |  | 77,380 | 80,553
Customer Relationships [Member] |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |
Other intangible assets, gross | [1] | 577,191 | 572,347
Accumulated amortization |  | (510,328) | (502,436)
Non-compete Agreements [Member] |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |
Other intangible assets, gross | [1] | 41,955 | 40,840
Accumulated amortization |  | (35,735) | (35,011)
Other [Member] |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |
Other intangible assets, gross |  | 7,067 | 7,067
Accumulated amortization |  | $ (2,770) | $ (2,254)
[1] | (1) Reflects the impact of the acquisitions; see Note 4, “Investments in and Acquisitions of Businesses.

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