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Stock-Based Compensation Plans - Schedule of Performance Award Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Nonvested Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares      
Granted, weighted average grant date fair value (in usd per share) $ 22.33 $ 22.17 $ 20.72