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Dividends and Share Repurchases (Details) - $ / shares
3 Months Ended 9 Months Ended
Jul. 22, 2019
May 24, 2019
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Dividends Payable [Line Items]            
Cash dividends per share (in dollars per share)   $ 0.20 $ 0.20 $ 0.17 $ 0.58 $ 0.49
Stock repurchased (in shares)     1,056,460      
Average cost per share (in dollars per share)     $ 32.45      
Remaining shares authorized to be repurchased (in shares)     8,537,241   8,537,241  
Subsequent Event            
Dividends Payable [Line Items]            
Dividends declared (in dollars per share) $ 0.21