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Property and Equipment (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Sep. 30, 2020
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Net $ 367.0   $ 367.0   $ 683.7
Depreciation 14.7 $ 17.1 49.5 $ 51.6  
Rental properties 722.3   722.3   0.0
Intersegment Eliminations [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Net 0.0   0.0   (3.0)
Rental properties (17.1)   (17.1)    
Other Segments [Member]          
Property, Plant and Equipment [Line Items]          
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment (26.6)   (26.6)   (28.2)
Property, Plant and Equipment, Net 81.1   81.1   308.9
Other Segments [Member] | Multifamily [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross         232.1
Rental properties 436.3   436.3    
Other Segments [Member] | Furniture and Fixtures [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 16.5   16.5   15.6
Other Segments [Member] | Other Assets [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 75.1   75.1   69.7
Other Segments [Member] | LandMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 16.1   16.1   19.7
Forestar Group [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Net 2.2   2.2   1.1
Rental properties 0.0   0.0    
Financial Services [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Net 3.4   3.4   3.9
Rental properties 0.0   0.0    
HomeBuildingMember          
Property, Plant and Equipment [Line Items]          
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment (268.4)   (268.4)   (256.2)
Property, Plant and Equipment, Net 280.3   280.3   372.8
HomeBuildingMember | Single Family [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross         87.2
Rental properties 303.1   303.1    
HomeBuildingMember | Building and Building Improvements [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 277.0   277.0   267.4
HomeBuildingMember | 2510 Household Furniture [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 133.9   133.9   134.0
HomeBuildingMember | Furniture and Fixtures [Member]          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 105.6   105.6   108.1
HomeBuildingMember | LandMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 32.2   32.2   32.3
MultifamilyMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 0.0   0.0   232.1
MultifamilyMember | LandMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 0.0   0.0   58.3
MultifamilyMember | Property, Plant and Equipment, Other Types          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 0.0   0.0   173.8
SingleFamilyMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 0.0   0.0   87.2
SingleFamilyMember | LandMember          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross 0.0   0.0   19.1
SingleFamilyMember | Property, Plant and Equipment, Other Types          
Property, Plant and Equipment [Line Items]          
Property, Plant and Equipment, Gross $ 0.0   $ 0.0   $ 68.1