Basis of Presentation and Summary of Significant Accounting Policies - Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Sep. 30, 2023
Disaggregation of Revenue [Line Items]
Total revenue	$ 386,818	$ 444,928
Customer deposits	27,018		$ 27,577
Contract with customer, liability, revenue recognized	11,800
Homebuilding revenue
Disaggregation of Revenue [Line Items]
Total revenue	380,919	444,084
Land sales and other revenue
Disaggregation of Revenue [Line Items]
Total revenue	$ 5,899	$ 844