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Segment Information (Details)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2023
USD ($)
state
region
Mar. 31, 2022
USD ($)
Mar. 31, 2023
USD ($)
state
segment
region
Mar. 31, 2022
USD ($)
Sep. 30, 2022
USD ($)
May 19, 2022
Segment Reporting Information [Line Items]            
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      
Revenue $ 543,908 $ 508,506 $ 988,836 $ 962,655    
Operating income 38,792 54,611 67,294 95,550    
Depreciation and amortization 3,020 3,031 5,533 5,912    
Capital expenditures     7,824 6,195    
Assets 2,268,096   2,268,096   $ 2,251,963  
Imagine Homes            
Segment Reporting Information [Line Items]            
Equity method investment, ownership percentage           33.00%
Operating Segments            
Segment Reporting Information [Line Items]            
Operating income 73,274 92,182 130,572 162,965    
Depreciation and amortization 2,725 2,551 4,933 4,984    
Corporate and unallocated            
Segment Reporting Information [Line Items]            
Operating income (34,482) (37,571) (63,278) (67,415)    
Depreciation and amortization 295 480 600 928    
Capital expenditures     2,574 2,072    
Assets 636,001   636,001   616,858  
West            
Segment Reporting Information [Line Items]            
Revenue 330,413 303,492 605,228 561,158    
West | Operating Segments            
Segment Reporting Information [Line Items]            
Operating income 45,513 58,103 82,870 100,827    
Depreciation and amortization 1,939 1,810 3,544 3,409    
Capital expenditures     3,086 3,275    
Assets 958,771   958,771   995,339  
East            
Segment Reporting Information [Line Items]            
Revenue 120,071 128,935 206,261 247,104    
East | Operating Segments            
Segment Reporting Information [Line Items]            
Operating income 16,244 24,072 25,506 43,931    
Depreciation and amortization 388 367 661 802    
Capital expenditures     1,239 253    
Assets 355,234   355,234   334,323  
Southeast            
Segment Reporting Information [Line Items]            
Revenue 93,424 76,079 177,347 154,393    
Southeast | Operating Segments            
Segment Reporting Information [Line Items]            
Operating income 11,517 10,007 22,196 18,207    
Depreciation and amortization 398 $ 374 728 773    
Capital expenditures     925 $ 595    
Assets $ 318,090   $ 318,090   $ 305,443