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Dividends and Share Repurchases (Details) - $ / shares
3 Months Ended 6 Months Ended
Apr. 28, 2020
Feb. 21, 2020
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2020
Mar. 31, 2019
Dividends Payable [Line Items]            
Cash dividends per share (in dollars per share)   $ 0.22 $ 0.22 $ 0.20 $ 0.43 $ 0.38
Stock repurchased (in shares)     2,423,613      
Average cost per share (in dollars per share)     $ 32.43      
Remaining shares authorized to be repurchased (in shares)     4,628,987   4,628,987  
Subsequent Event            
Dividends Payable [Line Items]            
Dividends declared (in dollars per share) $ 0.22