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Real Estate - Text (Detail) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Real Estate Properties [Line Items]      
Payments to Acquire Residential Real Estate $ 320.7    
Payments to Develop Real Estate Assets 1,100.0    
Inventory Write-down 3.8 $ 3.8 $ 0.0
Due Diligence Write-Offs $ 8.7 $ 3.0 $ 0.9
D.R. Horton, Inc. [Member] | Maximum      
Real Estate Properties [Line Items]      
Related Party Transaction, Rate 16.00%    
D.R. Horton, Inc. [Member] | Minimum      
Real Estate Properties [Line Items]      
Related Party Transaction, Rate 12.00%