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Inventory - Schedule of Interests in Lot Option Agreements (Details) - Unconsolidated Entities - USD ($) $ in Thousands	Jun. 30, 2026	Sep. 30, 2025
Real Estate Properties [Line Items]
Deposits and non-refundable pre-acquisition costs incurred	$ 387,422	$ 333,435
Remaining purchase price if lot option agreements are exercised	$ 1,631,298	$ 1,610,171

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 275
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482861/275-10-50-2

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