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Segment Information (Details)
$ in Thousands
12 Months Ended
Sep. 30, 2023
USD ($)
segment
region
state
Sep. 30, 2022
USD ($)
Sep. 30, 2021
USD ($)
May 19, 2022
Segment Reporting [Abstract]        
Number of states with active operations | state 13      
Number of regions in which entity operates | region 3      
Number of reportable segments | segment 3      
Segment Reporting Information [Line Items]        
Total revenue $ 2,206,785 $ 2,316,988 $ 2,140,303  
Total operating income 177,253 272,491 146,869  
Depreciation and amortization 12,198 13,360 13,976  
Capital expenditures 20,334 15,048 14,645  
Assets 2,411,033 2,251,963    
Imagine Homes        
Segment Reporting Information [Line Items]        
Equity method investment, ownership percentage       33.00%
Operating Segments        
Segment Reporting Information [Line Items]        
Total operating income 328,197 424,833 323,514  
Depreciation and amortization 10,867 11,670 12,009  
Corporate and unallocated        
Segment Reporting Information [Line Items]        
Total operating income (150,944) (152,342) (176,645)  
Depreciation and amortization 1,331 1,690 1,967  
Capital expenditures 6,395 4,870 4,725  
Assets 739,986 616,858    
West        
Segment Reporting Information [Line Items]        
Total revenue 1,297,005 1,331,553 1,118,578  
West | Operating Segments        
Segment Reporting Information [Line Items]        
Total operating income 205,850 253,961 181,303  
Depreciation and amortization 7,550 8,178 7,250  
Capital expenditures 9,909 7,755 6,924  
Assets 994,597 995,339    
East        
Segment Reporting Information [Line Items]        
Total revenue 505,844 560,747 569,835  
East | Operating Segments        
Segment Reporting Information [Line Items]        
Total operating income 65,021 102,146 84,630  
Depreciation and amortization 1,662 1,649 2,207  
Capital expenditures 2,578 1,208 1,549  
Assets 356,020 334,323    
Southeast        
Segment Reporting Information [Line Items]        
Total revenue 403,936 424,688 451,890  
Southeast | Operating Segments        
Segment Reporting Information [Line Items]        
Total operating income 57,326 68,726 57,581  
Depreciation and amortization 1,655 1,843 2,552  
Capital expenditures 1,452 1,215 $ 1,447  
Assets $ 320,430 $ 305,443