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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands | 12 Months Ended
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Sep. 30, 2024 USD ($) home | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($)
Summary of Significant Accounting Policies [Line Items] |  |  |
Threshold number of homes below a minimum threshold of profitability | home | 10 |  |
Measurement threshold of likelihood of being realized (percent) | 50.00% |  |
AMT tax refund received |  | $ 9,200 |
Interest payment received |  | 400 |
Customer deposits | $ 18,669 | 27,577 |
Contract with customer, liability, revenue recognized | 25,800 |  |
Refunded by buyer | 1,600 |  |
Advertising costs | $ 19,900 | $ 15,100 | $ 14,400
Minimum |  |  |
Summary of Significant Accounting Policies [Line Items] |  |  |
Estimated time to develop, sell, construct and close all homes (in years) | 3 years |  |
Estimated future warranty costs as a percentage or revenue (percent) | 0.30% |  |
Maximum |  |  |
Summary of Significant Accounting Policies [Line Items] |  |  |
Estimated time to develop, sell, construct and close all homes (in years) | 5 years |  |
Estimated future warranty costs as a percentage or revenue (percent) | 1.10% |  |

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