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Equity and Noncontrolling Interests - Narrative (Details) - USD ($)
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Nov. 30, 2022
Equity [Abstract]        
Aggregate amount       $ 600,000,000
Stock repurchased and retired during period (in shares) 6,115,932 9,424,668    
Average repurchase price per share (in dollars per share) $ 20.44 $ 29.18    
Repurchase and retirement of ordinary shares $ 125,000,000 $ 275,000,000 $ 65,000,000  
Stock repurchase program, remaining authorized repurchase amount $ 135,000,000