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Consolidated Statements of Stockholders' Equity (Parenthetical) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Statement of Stockholders' Equity [Abstract]      
Dividends declared per share $ 1.28 $ 1.24 $ 1.20
Total stockholders’ equity $ 13,006.8 $ 13,243.0 $ 12,547.8
Net subscriptions (distributions) and other 99.4 108.7 159.8
Adjustment to fair value (248.1) (251.7) 109.4
Acquisitions   965.9  
Net subscriptions (distributions) and other 99.4 108.7 159.8
Stockholders' Equity [Member]      
Statement of Stockholders' Equity [Abstract]      
Net subscriptions (distributions) and other 0.0 0.0 0.0
Adjustment to fair value (248.1) (251.7) 109.4
Net subscriptions (distributions) and other $ 0.0 0.0 $ 0.0
Acquisition - Amount   $ 940.1