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Investments - Summary of Investments (Details) - USD ($)
$ in Millions
Sep. 30, 2021
Sep. 30, 2020
Investment Holdings [Line Items]    
Total investments, at fair value $ 588.3 $ 504.8
Investments in equity method investees 814.3 716.2
Other investments 107.7 83.5
Total 1,510.3 1,304.5
Sponsored funds and separate accounts [Member]    
Investment Holdings [Line Items]    
Investments, at fair value 368.3 303.4
Investment related to long-term incentive plans [Member]    
Investment Holdings [Line Items]    
Investments, at fair value 160.0 146.6
Other equity and debt investments [Member]    
Investment Holdings [Line Items]    
Investments, at fair value $ 60.0 $ 54.8