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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2023 | Sep. 30, 2022
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | $ 2,666,224 | $ 2,608,324
Accumulated Amortization | (584,258) | (494,598)
Net Amount | 2,081,966 | 2,113,726
Customer relationship assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | 1,504,999 | 1,474,588
Accumulated Amortization | (570,553) | (487,877)
Net Amount | 934,446 | 986,711
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Amount | 1,161,225 | 1,133,736
Accumulated Amortization | (13,705) | (6,721)
Net Amount | $ 1,147,520 | $ 1,127,015

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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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