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Subsequent Events (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Nov. 20, 2019
Nov. 08, 2019
Oct. 25, 2019
Sep. 30, 2019
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Subsequent Event [Line Items]              
Dividends declared, in dollars per share         $ 0.2025 $ 0.190 $ 0.150
Stock Repurchased During Period, Shares         1,074,234 2,573,475 4,581,227
Stock Repurchased During Period, Value         $ 10.0 $ 30.0 $ 55.0
Payments to Acquire Businesses, Gross             $ 26.6
Other Payments to Acquire Businesses       $ 5.4      
Subsequent Event [Member]              
Subsequent Event [Line Items]              
Dividends Payable, Date Declared     Oct. 25, 2019        
Dividends declared, in dollars per share     $ 0.0525        
Dividends Payable, Date to be Paid Nov. 20, 2019            
Dividends Payable, Date of Record   Nov. 08, 2019