Segment Information (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2024 USD ($) state segment region	Dec. 31, 2023 USD ($)	Sep. 30, 2024 USD ($)
Segment Reporting Information [Line Items]
Number of states in which home building segments operate | state	13
Number of regions in which entity operates | region	3
Number of reportable segments | segment	3
Revenue	$ 468,953	$ 386,818
Operating income	2,138	20,265
Depreciation and amortization	4,055	2,233
Capital expenditures	5,219	5,544
Assets	2,600,528		$ 2,591,527
Operating Segments
Segment Reporting Information [Line Items]
Operating income	36,707	43,835
Depreciation and amortization	2,945	1,840
Corporate and unallocated
Segment Reporting Information [Line Items]
Operating income	(34,569)	(23,570)
Depreciation and amortization	1,110	393
Capital expenditures	1,473	1,390
Assets	514,441		633,764
West
Segment Reporting Information [Line Items]
Revenue	298,916	237,093
West | Operating Segments
Segment Reporting Information [Line Items]
Operating income	27,414	28,339
Depreciation and amortization	2,191	1,311
Capital expenditures	1,782	3,600
Assets	1,178,094		1,114,450
East
Segment Reporting Information [Line Items]
Revenue	109,882	74,777
East | Operating Segments
Segment Reporting Information [Line Items]
Operating income	6,672	6,356
Depreciation and amortization	456	209
Capital expenditures	747	369
Assets	485,806		454,255
Southeast
Segment Reporting Information [Line Items]
Revenue	60,155	74,948
Southeast | Operating Segments
Segment Reporting Information [Line Items]
Operating income	2,621	9,140
Depreciation and amortization	298	320
Capital expenditures	1,217	$ 185
Assets	$ 422,187		$ 389,058