Condensed Consolidated Balance Sheets (Parenthetical) - USD ($) $ in Millions	Jun. 30, 2024	Sep. 30, 2023
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)	49,386,629	50,118,789
Treasury Stock, Common, Shares	15,865,360	15,133,200
Accounts Receivable, Allowance for Credit Loss	$ 5.0	$ 5.6