Share-Based Compensation (Details) - USD ($)	12 Months Ended
Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
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	943,707
Vesting period	12 months
Performance-Accelerated Restricted Share (PARS) Awards
Share-Based Compensation
Pretax compensation expense	$ 7,500,000	$ 7,600,000	$ 6,100,000
Vesting period	5 years
Compensation Plan for Non-Employee Directors
Share-Based Compensation
Pretax compensation expense	$ 1,100,000	1,300,000	1,200,000
Total share-based compensation cost	1,900,000
Total income tax benefit recognized		1,300,000	1,500,000
Total unrecognized compensation cost related to share-based compensation arrangements	$ 9,000,000.0
Weighted average period	1 year 2 months 12 days
Compensation Plan for Non-Employee Directors \| Selling, general and administrative expenses
Share-Based Compensation
Total share-based compensation cost	$ 8,600,000	$ 8,900,000	$ 7,300,000
RSU
Share-Based Compensation
Vesting period	3 years 6 months	18 months
Vesting percentage	33.33%

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

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Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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