Share-Based Compensation (Details) - USD ($)	12 Months Ended
Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Share-Based Compensation
Share-Based Payment Arrangement, Expensed and Capitalized, Amount	$ 180,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant	808,103
Vesting period	12 months	12 months
Performance-Accelerated Restricted Share (PARS) Awards
Share-Based Compensation
Pretax compensation expense	$ 9,300,000	$ 7,500,000	$ 7,600,000
Compensation Plan for Non-Employee Directors
Share-Based Compensation
Pretax compensation expense	1,400,000	1,100,000	1,300,000
Total share-based compensation cost	2,100,000
Total income tax benefit recognized		1,900,000	1,300,000
Total unrecognized compensation cost related to share-based compensation arrangements	$ 11,800,000
Weighted average period	1 year 4 months 24 days
Compensation Plan for Non-Employee Directors \| Selling, general and administrative expenses
Share-Based Compensation
Total share-based compensation cost	$ 10,700,000	$ 8,600,000	$ 8,900,000
RSU
Share-Based Compensation
Vesting period		3 years 6 months	18 months
Vesting percentage	0.333%	0.333%

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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