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Shareholders' Equity - Narrative (Details) - $ / shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Class of Stock [Line Items]    
Stock repurchased (in shares) 3,339,530 4,065,837
Additional shares authorized to be repurchased (in shares) 4,627,231  
Weighted average    
Class of Stock [Line Items]    
Weighted average cost of repurchased stock (in dollars per share) $ 33.58 $ 30.46