Basis of Presentation and Summary of Significant Accounting Policies - Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022	Sep. 30, 2022
Disaggregation of Revenue [Line Items]
Total revenue	$ 543,908	$ 508,506	$ 988,836	$ 962,655
Customer deposits	31,432		31,432		$ 34,270
Contract with customer, liability, revenue recognized	10,100		22,200
Homebuilding revenue
Disaggregation of Revenue [Line Items]
Total revenue	542,007	507,208	986,091	953,937
Land sales and other revenue
Disaggregation of Revenue [Line Items]
Total revenue	$ 1,901	$ 1,298	$ 2,745	$ 8,718