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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Value of Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]    
Balance at beginning of year $ 4,500.8 $ 2,130.3
Acquisitions 0.0 2,389.1
Impairment 0.0 (23.7)
Purchase price allocation adjustment [1] (52.4) 0.0
Foreign exchange revaluation 9.3 5.1
Balance at End of Year $ 4,457.7 $ 4,500.8
[1] Refer to Note 3 - Acquisitions