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Summary of Significant Accounting Policies - Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Goodwill [Line Items]      
Goodwill $ 163.5 $ 163.5  
Goodwill, Impairment Loss 0.0 0.0 $ 0.0
Home Building      
Goodwill [Line Items]      
Goodwill 134.3 134.3  
Home Building | Northwest      
Goodwill [Line Items]      
Goodwill 2.2 2.2  
Home Building | Southwest [Member]      
Goodwill [Line Items]      
Goodwill 0.0 0.0  
Home Building | South Central [Member]      
Goodwill [Line Items]      
Goodwill 15.9 15.9  
Home Building | Southeast [Member]      
Goodwill [Line Items]      
Goodwill 6.0 6.0  
Home Building | East [Member]      
Goodwill [Line Items]      
Goodwill 60.5 60.5  
Home Building | North      
Goodwill [Line Items]      
Goodwill 49.7 49.7  
Eliminations and Other      
Goodwill [Line Items]      
Goodwill $ 29.2 $ 29.2