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Basis of Presentation and Summary of Significant Accounting Policies - Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024	Sep. 30, 2024
Disaggregation of Revenue [Line Items]
Total revenue	$ 565,339	$ 541,540	$ 1,034,292	$ 928,358
Customer deposits	21,109		21,109		$ 18,669
Contract with customer, liability, revenue recognized	5,600		13,800
Homebuilding revenue
Disaggregation of Revenue [Line Items]
Total revenue	556,032	538,636	1,016,454	919,555
Land sales and other revenue
Disaggregation of Revenue [Line Items]
Total revenue	$ 9,307	$ 2,904	$ 17,838	$ 8,803

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