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Goodwill and Intangible Assets - Components of Company's Goodwill and Intangible Assets (Details) - USD ($) $ in Millions | Mar. 31, 2020 | Sep. 30, 2019 | Mar. 31, 2019
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Goodwill and Intangible Assets Disclosure [Abstract] |  |  |
Goodwill | $ 3,465.5 | $ 3,456.4 | $ 3,147.8
Intangible assets: |  |  |
Customer relationships | 1,040.4 | 1,038.4 | 782.1
Trademarks and tradenames | 11.8 | 16.2 | 16.5
Noncompete agreements and other | 68.1 | 46.4 | 55.2
Accumulated amortization | (478.7) | (441.8) | (416.3)
Intangible assets, net (definite-lived) | 641.6 | 659.2 | 437.5
Trademarks and tradenames (indefinite-lived) | 46.2 | 49.4 | 50.8
Total intangible assets, net | $ 687.8 | $ 708.6 | $ 488.3

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- Definition Gross carrying amount before accumulated amortization as of the balance sheet date to an asset acquired in a business combination representing a favorable existing relationship with customers having a finite beneficial life. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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