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Segment Information (Details)
$ in Thousands
 3 Months Ended 9 Months Ended
Jun. 30, 2022
USD ($)
state
region
Jun. 30, 2021
USD ($)
Jun. 30, 2022
USD ($)
state
segment
region
Jun. 30, 2021
USD ($)
Sep. 30, 2021
USD ($)
Segment Reporting [Abstract]          
Number of states in which home building segments operate | state 13   13    
Number of regions in which entity operates | region 3   3    
Number of reportable segments | segment     3    
Segment Reporting Information [Line Items]          
Revenue $ 526,666 $ 570,932 $ 1,489,321 $ 1,549,360  
Operating income 67,239 48,693 162,789 99,999  
Depreciation and amortization 3,189 3,689 9,101 10,494  
Capital expenditures     11,192 10,319  
Assets 2,218,400   2,218,400   $ 2,078,810
Operating Segments          
Segment Reporting Information [Line Items]          
Operating income 100,517 94,713 263,482 229,703  
Depreciation and amortization 2,749 3,154 7,733 8,944  
Corporate and unallocated          
Segment Reporting Information [Line Items]          
Operating income (33,278) (46,020) (100,693) (129,704)  
Depreciation and amortization 440 535 1,368 1,550  
Capital expenditures     3,273 3,639  
Assets 482,977   482,977   676,779
West          
Segment Reporting Information [Line Items]          
Revenue 324,679 297,073 885,837 812,673  
West | Operating Segments          
Segment Reporting Information [Line Items]          
Operating income 65,106 52,295 165,933 128,086  
Depreciation and amortization 2,067 1,924 5,476 5,397  
Capital expenditures     6,353 4,359  
Assets 1,026,635   1,026,635   819,317
East          
Segment Reporting Information [Line Items]          
Revenue 112,519 162,156 359,623 413,691  
East | Operating Segments          
Segment Reporting Information [Line Items]          
Operating income 20,935 27,437 64,866 61,254  
Depreciation and amortization 311 602 1,113 1,648  
Capital expenditures     723 1,334  
Assets 361,148   361,148   286,133
Southeast          
Segment Reporting Information [Line Items]          
Revenue 89,468 111,703 243,861 322,996  
Southeast | Operating Segments          
Segment Reporting Information [Line Items]          
Operating income 14,476 14,981 32,683 40,363  
Depreciation and amortization 371 $ 628 1,144 1,899  
Capital expenditures     843 $ 987  
Assets $ 347,640   $ 347,640   $ 296,581