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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 |
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Mar. 31, 2024 | Oct. 01, 2023
Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | $ 298,734 | $ 270,453
Accumulated Amortization | (123,123) | (96,517)
Net Amount | $ 175,611 | 173,936
Client relations |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 8 years 8 months 12 days |
Gross Amount | $ 188,940 | 169,217
Accumulated Amortization | (45,970) | (36,072)
Net Amount | $ 142,970 | 133,145
Backlog |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 8 months 12 days |
Gross Amount | $ 71,161 | 63,825
Accumulated Amortization | (58,761) | (47,802)
Net Amount | $ 12,400 | 16,023
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Weighted- Average Remaining Life (in Years) | 1 year 10 months 24 days |
Gross Amount | $ 38,633 | 37,411
Accumulated Amortization | (18,392) | (12,643)
Net Amount | $ 20,241 | $ 24,768

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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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