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Goodwill and Intangible Assets - Gross Amount and Accumulated Amortization of Acquired Finite-lived Intangibles (Details) - USD ($) $ in Thousands | 6 Months Ended |
--- | --- | ---
Mar. 30, 2025 | Sep. 29, 2024
Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | $ 305,495 | $ 314,846
Accumulated Amortization | (168,711) | (154,261)
Net Amount | $ 136,784 | 160,585
Client relations |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 7 years 10 months 24 days |
Gross Amount | $ 193,216 | 198,726
Accumulated Amortization | (66,387) | (57,975)
Net Amount | $ 126,829 | 140,751
Backlog |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 1 month 6 days |
Gross Amount | $ 72,881 | 75,194
Accumulated Amortization | (72,639) | (71,101)
Net Amount | $ 242 | 4,093
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 10 months 24 days |
Gross Amount | $ 39,398 | 40,926
Accumulated Amortization | (29,685) | (25,185)
Net Amount | $ 9,713 | $ 15,741

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