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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 2,646,327	$ 2,608,324
Accumulated Amortization	(554,530)	(494,598)
Net Amount	2,091,797	2,113,726
Customer relationship assets
Finite-Lived Intangible Assets [Line Items]
Gross Amount	1,487,245	1,474,588
Accumulated Amortization	(543,327)	(487,877)
Net Amount	943,918	986,711
Trade names
Finite-Lived Intangible Assets [Line Items]
Gross Amount	1,159,082	1,133,736
Accumulated Amortization	(11,203)	(6,721)
Net Amount	$ 1,147,879	$ 1,127,015

X

- 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
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-Publisher FASB
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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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
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+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 926
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
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