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Goodwill and Intangible Assets - Gross Amount and Accumulated Amortization of Acquired Finite-lived Intangibles (Details) - USD ($) $ in Thousands | 12 Months Ended |
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Oct. 01, 2023 | Oct. 02, 2022
Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | $ 270,453 | $ 87,673
Accumulated Amortization | (96,517) | (58,510)
Net Amount | $ 173,936 | 29,163
Client relations |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in years) | 9 years 4 months 24 days |
Gross Amount | $ 169,217 | 41,676
Accumulated Amortization | (36,072) | (21,092)
Net Amount | $ 133,145 | 20,584
Backlog |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in years) | 10 months 24 days |
Gross Amount | $ 63,825 | 33,286
Accumulated Amortization | (47,802) | (29,990)
Net Amount | $ 16,023 | 3,296
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in years) | 2 years 4 months 24 days |
Gross Amount | $ 37,411 | 12,711
Accumulated Amortization | (12,643) | (7,428)
Net Amount | $ 24,768 | $ 5,283

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (a)(3) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-1 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(16)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-2 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 928 -SubTopic 340 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147483147/928-340-50-1 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-2 + Details
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