Basis of Presentation and Summary of Significant Accounting Policies - Revenue Recognition (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Summary of Significant Accounting Policies [Line Items]
Total revenue	$ 2,316,988	$ 2,140,303	$ 2,127,077
Homebuilding revenue
Summary of Significant Accounting Policies [Line Items]
Total revenue	2,302,520	2,127,700	2,116,910
Land sales and other revenue
Summary of Significant Accounting Policies [Line Items]
Total revenue	$ 14,468	$ 12,603	$ 10,167