Segment Information (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2023 USD ($) state region segment	Dec. 31, 2022 USD ($)	Sep. 30, 2023 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	$ 386,818	$ 444,928
Operating income	20,265	28,502
Depreciation and amortization	2,233	2,513
Capital expenditures	5,544	3,245
Assets	2,389,451		$ 2,411,033
Operating Segments
Segment Reporting Information [Line Items]
Operating income	43,835	57,298
Depreciation and amortization	1,840	2,208
Corporate and unallocated
Segment Reporting Information [Line Items]
Operating income	(23,570)	(28,796)
Depreciation and amortization	393	305
Capital expenditures	1,390	485
Assets	513,345		739,986
West
Segment Reporting Information [Line Items]
Revenue	237,093	274,815
West | Operating Segments
Segment Reporting Information [Line Items]
Operating income	28,339	37,357
Depreciation and amortization	1,311	1,605
Capital expenditures	3,600	1,510
Assets	1,124,278		994,597
East
Segment Reporting Information [Line Items]
Revenue	74,777	86,190
East | Operating Segments
Segment Reporting Information [Line Items]
Operating income	6,356	9,262
Depreciation and amortization	209	273
Capital expenditures	369	533
Assets	409,775		356,020
Southeast
Segment Reporting Information [Line Items]
Revenue	74,948	83,923
Southeast | Operating Segments
Segment Reporting Information [Line Items]
Operating income	9,140	10,679
Depreciation and amortization	320	330
Capital expenditures	185	$ 717
Assets	$ 342,053		$ 320,430