Consolidated Statements of Stockholders’ Equity - USD ($) $ in Millions	Total	Cumulative Effect, Period of Adoption, Adjustment	Cumulative Effect, Period of Adoption, Adjusted Balance	Common Stock	Common Stock Cumulative Effect, Period of Adoption, Adjusted Balance	Treasury Stock	Treasury Stock Cumulative Effect, Period of Adoption, Adjusted Balance	Additional Paid-in Capital	Additional Paid-in Capital Cumulative Effect, Period of Adoption, Adjusted Balance	Retained Earnings	Retained Earnings Cumulative Effect, Period of Adoption, Adjustment	Retained Earnings Cumulative Effect, Period of Adoption, Adjusted Balance	Accumulated Other Comprehensive Loss, net	Accumulated Other Comprehensive Loss, net Cumulative Effect, Period of Adoption, Adjustment	Accumulated Other Comprehensive Loss, net Cumulative Effect, Period of Adoption, Adjusted Balance
Beginning balance at Sep. 30, 2018	$ 505.3			$ 0.2		$ (46.3)		$ 267.5		$ 317.0			$ (33.1)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	85.1									85.1
Other comprehensive income (loss)	(1.7)												(1.7)
Exercise of stock options	1.2							1.2
Share-based compensation	8.1							8.1
Repurchase of stock	(3.8)					(3.8)
Ending balance at Sep. 30, 2019	$ 594.2	$ 0.0	$ 594.2	0.2	$ 0.2	(50.1)	$ (50.1)	276.8	$ 276.8	402.1	$ 0.7	$ 402.8	(34.8)	$ (0.7)	$ (35.5)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Accounting Standards Update [Extensible List]	Accounting Standards Update 2018-02 [Member]
Net income	$ 169.6									169.6
Other comprehensive income (loss)	(4.6)												(4.6)
Exercise of stock options	5.5							5.5
Share-based compensation	10.3							10.3
Repurchase of stock	(7.5)					(7.5)
Ending balance at Sep. 30, 2020	$ 767.5	$ (6.2)	$ 761.3	0.2	$ 0.2	(57.6)	$ (57.6)	292.6	$ 292.6	572.4	$ (6.2)	$ 566.2	(40.1)		$ (40.1)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Accounting Standards Update [Extensible List]	Accounting Standards Update 2016-13 [Member]
Net income	$ 116.3									116.3
Other comprehensive income (loss)	15.0												15.0
Exercise of stock options	9.2							9.2
Share-based compensation	13.9							13.9
Repurchase of stock	(11.7)					(11.7)
Ending balance at Sep. 30, 2021	$ 904.0			$ 0.2		$ (69.3)		$ 315.7		$ 682.5			$ (25.1)