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Fair Value Measurements - Schedule of Changes in Level 3 Assets and Liabilities (Details) - Level 3 [Member] - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Contingent Consideration Liabilities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Balance at beginning of year - liabilities $ (25.3) $ 0.0
Acquisitions - liabilities (13.0) (27.9)
Purchases - liabilities 0.0 0.0
Sales - liabilities 0.0 0.0
Settlements - liabilities 0.0 0.6
Transfers into Level 3 - liabilities 0.0 0.0
Transfers out of level 3 - liability 0.0 0.0
Balance at End of Year - liabilities (42.4) (25.3)
Change in unrealized gains (losses) included in net income relating to assets and liabilities held at end of year - liability (4.1) 0.0
Investments [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Balance at beginning of year - assets 17.4 32.1
Purchases - assets 17.6 22.6
Sales - assets (6.0) (19.0)
Settlements - assets (3.5) (8.4)
Consolidation of investment product 0.0 (10.0)
Transfers into Level 3 - assets 1.9 0.1
Transfers out of level 3 - assets (3.1) 0.0
Balance at End of Year - assets 24.6 17.4
Change in unrealized gains (losses) included in net income relating to assets and liabilities held at end of year - assets 0.3 (1.4)
Contingent Consideration Asset [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Balance at beginning of year - assets 39.7 0.0
Acquisition - asset 0.0 39.7
Purchases - assets 0.0 0.0
Sales - assets 0.0  
Settlements - assets (20.3) 0.0
Transfers into Level 3 - assets 0.0 0.0
Transfers out of level 3 - assets 0.0 0.0
Balance at End of Year - assets 19.4 39.7
Change in unrealized gains (losses) included in net income relating to assets and liabilities held at end of year - assets 0.0 0.0
Investment and other income (losses), net [Member] | Contingent Consideration Liabilities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - liabilities 0.0 0.0
Investment and other income (losses), net [Member] | Investments [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - assets 0.3 0.0
Investment and other income (losses), net [Member] | Contingent Consideration Asset [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - assets 0.0 0.0
General, administrative and other expense [Member] | Contingent Consideration Liabilities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - liabilities (4.1) 2.0
General, administrative and other expense [Member] | Investments [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - assets 0.0 0.0
General, administrative and other expense [Member] | Contingent Consideration Asset [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Total realized and unrealized gains (losses) - assets $ 0.0 $ 0.0