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Stock-Based Compensation Plans - Summary of Company's Share Awards (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Equity Units Weighted-Average Intrinsic Value      
Granted (in dollars per share)     $ 23.82
Deferred Equity Units      
Equity Units      
Unvested units beginning balance (in shares) 0 549,454  
Granted (in shares) 0 0  
Vested (in shares) 0 (549,454)  
Forfeited (in shares) 0 0  
Unvested units ending balance (in shares) 0 0 549,454
Equity Units Weighted-Average Intrinsic Value      
Unvested units beginning balance (in dollars per share) $ 0 $ 27.01  
Granted (in dollars per share) 0 0  
Vested (in dollars per share) 0 44.21  
Forfeited (in dollars per share) 0 0  
Unvested units ending balance (in dollars per share) 0 0 $ 27.01
Equity Units Weighted-Average Grant-Date Intrinsic Value      
Unvested units beginning balance (in usd per share) 0 23.82  
Granted (in usd per share) 0 0  
Vested (in usd per share) 0 41.02  
Forfeited (in usd per share) 0 0  
Unvested units ending balance (in usd per share) $ 0 $ 0 $ 23.82
Matching Equity Units      
Equity Units      
Unvested units beginning balance (in shares) 2,008,283 4,311,861  
Granted (in shares) 0 0  
Vested (in shares) (1,458,829) (2,303,578)  
Forfeited (in shares) 0 0  
Unvested units ending balance (in shares) 549,454 2,008,283 4,311,861
Equity Units Weighted-Average Intrinsic Value      
Unvested units beginning balance (in dollars per share) $ 41.02 $ 23.82  
Granted (in dollars per share) 0 0  
Vested (in dollars per share) 20.02 41.02  
Forfeited (in dollars per share) 0 0  
Unvested units ending balance (in dollars per share) 20.02 41.02 $ 23.82
Equity Units Weighted-Average Grant-Date Intrinsic Value      
Unvested units beginning balance (in usd per share) 0 0  
Granted (in usd per share) 0 0  
Vested (in usd per share) 0 0  
Forfeited (in usd per share) 0 0  
Unvested units ending balance (in usd per share) $ 0 $ 0 $ 0