Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Interests in Lot Option Agreements (Details) - Unconsolidated lot option agreements - USD ($) $ in Thousands	Sep. 30, 2025	Sep. 30, 2024
Real Estate Properties [Line Items]
Deposits and non-refundable pre-acquisition costs incurred	$ 333,435	$ 227,770
Remaining purchase price if lot option agreements are exercised	$ 1,610,171	$ 1,458,679