Segment Information (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2021 USD ($) region state segment	Dec. 31, 2020 USD ($)	Sep. 30, 2021 USD ($)
Segment Reporting [Abstract]
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
Segment Reporting Information [Line Items]
Revenue	$ 454,149	$ 428,539
Operating income (loss)	40,939	17,688
Depreciation and amortization	2,881	3,122
Capital expenditures	2,894	2,953
Assets	2,060,191		$ 2,078,810
Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)	70,783	54,979
Depreciation and amortization	2,433	2,603
Corporate and unallocated
Segment Reporting Information [Line Items]
Operating income (loss)	(29,844)	(37,291)
Depreciation and amortization	448	519
Capital expenditures	1,137	649
Assets	591,116		676,779
West
Segment Reporting Information [Line Items]
Revenue	257,666	236,880
West | Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)	42,724	33,303
Depreciation and amortization	1,599	1,537
Capital expenditures	1,333	1,636
Assets	867,871		819,317
East
Segment Reporting Information [Line Items]
Revenue	118,169	97,964
East | Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)	19,859	11,368
Depreciation and amortization	435	471
Capital expenditures	69	434
Assets	296,633		286,133
Southeast
Segment Reporting Information [Line Items]
Revenue	78,314	93,695
Southeast | Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)	8,200	10,308
Depreciation and amortization	399	595
Capital expenditures	355	$ 234
Assets	$ 304,571		$ 296,581