Condensed Consolidated Balance Sheets (Parenthetical) - USD ($) $ in Millions	Dec. 31, 2024	Sep. 30, 2024
Statement of Financial Position [Abstract]
Preferred shares, par value (in usd per share)	$ 0.01	$ 0.01
Preferred shares, authorized (in shares)	10,000,000	10,000,000
Preferred shares, issued (in shares)	0	0
Preferred shares, outstanding (in shares)	0	0
Common shares, par value (in usd per share)	$ 0.01	$ 0.01
Common shares, authorized (in shares)	300,000,000	300,000,000
Common shares, issued (in shares)	65,251,989	65,251,989
Common shares, outstanding (in shares)	48,415,888	48,920,813
Treasury Stock, Common, Shares	16,836,101	16,331,176
Accounts Receivable, Allowance for Credit Loss	$ 4.4	$ 4.6