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Stock-based Compensation - Compensation Cost of Share-based Compensation Arrangements (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Share-Based Payment Arrangement [Abstract] |  |  |
Total compensation cost | $ 7.8 | $ 6.6 | $ 11.2
Compensation cost capitalized | (1.1) | (0.8) | (1.4)
Compensation cost recognized in net income | 6.7 | 5.8 | 9.8
Income tax benefit recognized in net income | (1.5) | (1.3) | (2.2)
Compensation cost recognized in net income, net of income tax | $ 5.2 | $ 4.5 | $ 7.6

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- Definition Amount, after tax, of expense for award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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