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Redeemable Noncontrolling Interest (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Noncontrolling Interest [Line Items]      
Temporary Equity, Carrying Amount, Including Portion Attributable to Noncontrolling Interests, Beginning Balance $ 1,321.8    
Acquisition   $ 965.9  
Net income (loss) (52.7) 127.9 $ 135.5
Net subscriptions (distributions) and other 99.4 108.7 159.8
Net deconsolidations 18.0 (45.7) (360.6)
Adjustment to fair value (248.1) (251.7) 109.4
Balance at September 30, 2025 1,182.0 1,321.8  
Minority Interests [Member]      
Noncontrolling Interest [Line Items]      
Temporary Equity, Carrying Amount, Including Portion Attributable to Noncontrolling Interests, Beginning Balance 634.0 446.0 583.6
Acquisition   0.0  
Net income (loss) 42.2 47.7 58.1
Net subscriptions (distributions) and other (31.9) (111.4) (86.3)
Net deconsolidations 0.0 0.0 0.0
Adjustment to fair value 248.1 251.7 (109.4)
Balance at September 30, 2025 892.4 634.0 446.0
Redeemable Noncontrolling Interest [Member]      
Noncontrolling Interest [Line Items]      
Temporary Equity, Carrying Amount, Including Portion Attributable to Noncontrolling Interests, Beginning Balance 1,321.8 1,026.1 1,525.8
Acquisition   (20.2)  
Net income (loss) (52.7) 127.9 135.5
Net subscriptions (distributions) and other 285.6 102.0 519.2
Net deconsolidations (620.8) (206.1) (1,045.0)
Adjustment to fair value 248.1 251.7 (109.4)
Balance at September 30, 2025 1,182.0 1,321.8 1,026.1
Consolidated Investment Products [Member]      
Noncontrolling Interest [Line Items]      
Temporary Equity, Carrying Amount, Including Portion Attributable to Noncontrolling Interests, Beginning Balance 687.8 580.1 942.2
Acquisition   20.2  
Net income (loss) (94.9) 80.2 77.4
Net subscriptions (distributions) and other 317.5 213.4 605.5
Net deconsolidations (620.8) (206.1) (1,045.0)
Adjustment to fair value 0.0 0.0 0.0
Balance at September 30, 2025 $ 289.6 $ 687.8 $ 580.1