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Subsequent Events (Details) - USD ($) $ / shares in Units, $ in Millions				3 Months Ended	12 Months Ended
	Nov. 20, 2018	Nov. 09, 2018	Oct. 25, 2018	Dec. 31, 2018	Sep. 30, 2018	Sep. 30, 2017	Sep. 30, 2016
Subsequent Event [Line Items]
Dividends declared, in dollars per share					$ 0.190	$ 0.150	$ 0.100
Stock Repurchased During Period, Shares					2,573,475	4,581,227
Stock Repurchased During Period, Value					$ 30.0	$ 55.0
Payments to Acquire Businesses, Gross						$ 26.6
Subsequent Event [Member]
Subsequent Event [Line Items]
Dividends Payable, Date Declared			Oct. 25, 2018
Dividends declared, in dollars per share			$ 0.05
Dividends Payable, Date to be Paid	Nov. 20, 2018
Dividends Payable, Date of Record		Nov. 09, 2018
Scenario, Forecast [Member]
Subsequent Event [Line Items]
Business Exit Costs				$ 5.0
Payments to Acquire Businesses, Gross				$ 140.0