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Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Sep. 30, 2022
Assets [Abstract]      
Cash and cash equivalents $ 2,591.1   $ 2,540.5
Restricted cash 21.4   32.4
Inventories:      
Construction in progress and finished homes 9,508.0   9,798.2
Residential land and lots — developed and under development 9,898.9   9,173.1
Land held for development 108.6   110.8
Land held for sale 29.5   29.4
Rental properties 2,900.3   2,544.2
Total inventories 22,445.3   21,655.7
Mortgage loans held for sale 1,782.7   2,386.0
Deferred income taxes, net 137.9   141.1
Property and equipment, net 501.7   471.6
Other assets 2,620.9   2,960.3
Goodwill 163.5   163.5
Total assets 30,264.5   30,351.1
Liabilities [Abstract]      
Accounts payable 1,205.0   1,360.3
Accrued expenses and other liabilities 2,816.8   3,138.3
Notes payable 5,690.3   6,066.9
Total liabilities 9,712.1   10,565.5
Revenues      
Total revenues 7,257.8 $ 7,053.4  
Inventory and land option charges 27.5 4.8  
Cost of sales 5,291.3 4,905.7  
Selling, General and Administrative Expense (737.0) (665.9)  
Other (income) expense (37.7) (15.5)  
Income (loss) before income taxes 1,267.2 1,497.3  
Depreciation and amortization 19.8 19.4  
Cash provided by (used in) operating activities 829.1 (174.1)  
HomeBuildingMember      
Revenues      
Home sales 6,709.2 6,656.4  
Cost of Goods and Services Sold 5,057.7 4,796.2  
Land [Member]      
Revenues      
Home sales 84.1 56.2  
Cost of Goods and Services Sold 24.0 33.0  
Financial Services [Member]      
Revenues      
Home sales 137.0 184.3  
Rental      
Revenues      
Home sales 327.5 156.5  
Cost of Goods and Services Sold 182.1 71.7  
Intersegment Eliminations [Member]      
Assets [Abstract]      
Cash and cash equivalents 25.5   21.8
Restricted cash 0.0   0.0
Inventories:      
Construction in progress and finished homes (149.4)   (153.3)
Residential land and lots — developed and under development (79.1)   (82.0)
Land held for development 0.0   0.0
Land held for sale 0.0   0.0
Rental properties (25.2)   (27.9)
Total inventories (253.7)   (263.2)
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net 4.6   1.9
Property and equipment, net 117.1   97.8
Other assets (148.6)   132.8
Goodwill 29.2   29.2
Total assets (225.9)   20.3
Liabilities [Abstract]      
Accounts payable (422.1)   (94.8)
Accrued expenses and other liabilities (167.3)   (214.0)
Notes payable 0.0   0.0
Total liabilities (589.4)   (308.8)
Revenues      
Total revenues (167.4) (374.4)  
Inventory and land option charges 0.0 0.0  
Cost of sales (198.4) (356.2)  
Selling, General and Administrative Expense (5.4) (2.9)  
Other (income) expense 9.2 5.3  
Income (loss) before income taxes 16.4 (26.4)  
Depreciation and amortization 2.9 3.0  
Cash provided by (used in) operating activities 22.5 (56.8)  
Intersegment Eliminations [Member] | HomeBuildingMember      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold (49.0) (37.7)  
Intersegment Eliminations [Member] | Land [Member]      
Revenues      
Home sales (167.4) (374.4)  
Cost of Goods and Services Sold (147.7) (317.7)  
Intersegment Eliminations [Member] | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Intersegment Eliminations [Member] | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold (1.7) (0.8)  
HomeBuildingMember      
Assets [Abstract]      
Cash and cash equivalents 2,039.4   2,040.7
Restricted cash 7.4   11.3
Inventories:      
Construction in progress and finished homes 9,657.4   9,951.5
Residential land and lots — developed and under development 7,997.8   7,322.5
Land held for development 21.1   21.0
Land held for sale 29.5   29.4
Rental properties 0.0   0.0
Total inventories 17,705.8   17,324.4
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net 140.4   146.3
Property and equipment, net 372.6   361.8
Other assets 2,549.4   2,266.5
Goodwill 134.3   134.3
Total assets 22,949.3   22,285.3
Liabilities [Abstract]      
Accounts payable 994.3   1,149.1
Accrued expenses and other liabilities 2,494.8   2,365.7
Notes payable 2,970.0   2,942.6
Total liabilities 6,459.1   6,457.4
Revenues      
Total revenues 6,744.0 6,679.4  
Inventory and land option charges 24.2 3.9  
Cost of sales 5,135.8 4,854.9  
Selling, General and Administrative Expense (527.1) (497.7)  
Other (income) expense (13.3) (6.2)  
Income (loss) before income taxes 1,094.4 1,333.0  
Depreciation and amortization 15.2 15.4  
Cash provided by (used in) operating activities 313.9 (114.7)  
HomeBuildingMember | HomeBuildingMember      
Revenues      
Home sales 6,709.2 6,656.4  
Cost of Goods and Services Sold 5,106.7 4,833.9  
HomeBuildingMember | Land [Member]      
Revenues      
Home sales 34.8 23.0  
Cost of Goods and Services Sold 4.9 17.1  
HomeBuildingMember | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
HomeBuildingMember | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Forestar Group [Member]      
Assets [Abstract]      
Cash and cash equivalents 216.4   264.8
Restricted cash 0.0   0.0
Inventories:      
Construction in progress and finished homes 0.0   0.0
Residential land and lots — developed and under development 1,980.2   1,932.6
Land held for development 87.5   89.8
Land held for sale 0.0   0.0
Rental properties 0.0   0.0
Total inventories 2,067.7   2,022.4
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net 0.0   0.0
Property and equipment, net 5.6   5.7
Other assets 51.4   50.1
Goodwill 0.0   0.0
Total assets 2,341.1   2,343.0
Liabilities [Abstract]      
Accounts payable 73.0   72.2
Accrued expenses and other liabilities 341.1   365.4
Notes payable 706.4   706.0
Total liabilities 1,120.5   1,143.6
Revenues      
Total revenues 216.7 407.6  
Inventory and land option charges 2.4 0.6  
Cost of sales 169.2 334.2  
Selling, General and Administrative Expense (22.9) (21.5)  
Other (income) expense (3.3) (1.6)  
Income (loss) before income taxes 27.9 53.5  
Depreciation and amortization 0.7 0.5  
Cash provided by (used in) operating activities (49.8) 5.8  
Forestar Group [Member] | HomeBuildingMember      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Forestar Group [Member] | Land [Member]      
Revenues      
Home sales 216.7 407.6  
Cost of Goods and Services Sold 166.8 333.6  
Forestar Group [Member] | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Forestar Group [Member] | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Financial Services [Member]      
Assets [Abstract]      
Cash and cash equivalents 198.4   103.3
Restricted cash 12.2   19.7
Inventories:      
Construction in progress and finished homes 0.0   0.0
Residential land and lots — developed and under development 0.0   0.0
Land held for development 0.0   0.0
Land held for sale 0.0   0.0
Rental properties 0.0   0.0
Total inventories 0.0   0.0
Mortgage loans held for sale 1,782.7   2,386.0
Deferred income taxes, net 0.0   0.0
Property and equipment, net 4.2   4.3
Other assets 143.1   492.5
Goodwill 0.0   0.0
Total assets 2,140.6   3,005.8
Liabilities [Abstract]      
Accounts payable 0.0   0.2
Accrued expenses and other liabilities 123.7   596.2
Notes payable 1,213.9   1,618.3
Total liabilities 1,337.6   2,214.7
Revenues      
Total revenues 137.0 184.3  
Inventory and land option charges 0.0 0.0  
Cost of sales 0.0 0.0  
Selling, General and Administrative Expense (134.1) (125.3)  
Other (income) expense (15.3) (8.1)  
Income (loss) before income taxes 18.2 67.1  
Depreciation and amortization 0.5 0.4  
Cash provided by (used in) operating activities 493.1 247.5  
Financial Services [Member] | HomeBuildingMember      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Financial Services [Member] | Land [Member]      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Financial Services [Member] | Financial Services [Member]      
Revenues      
Home sales 137.0 184.3  
Financial Services [Member] | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Rental      
Assets [Abstract]      
Cash and cash equivalents 111.4   109.9
Restricted cash 1.8   1.4
Inventories:      
Construction in progress and finished homes 0.0   0.0
Residential land and lots — developed and under development 0.0   0.0
Land held for development 0.0   0.0
Land held for sale 0.0   0.0
Rental properties 2,925.5   2,572.1
Total inventories 2,925.5   2,572.1
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net (7.1)   (7.1)
Property and equipment, net 2.2   2.0
Other assets 25.6   18.4
Goodwill 0.0   0.0
Total assets 3,059.4   2,696.7
Liabilities [Abstract]      
Accounts payable 559.8   233.6
Accrued expenses and other liabilities 24.5   25.0
Notes payable 800.0   800.0
Total liabilities 1,384.3   1,058.6
Revenues      
Total revenues 327.5 156.5  
Inventory and land option charges 0.9 0.3  
Cost of sales 184.7 72.8  
Selling, General and Administrative Expense (47.5) (18.5)  
Other (income) expense (15.0) (4.9)  
Income (loss) before income taxes 110.3 70.1  
Depreciation and amortization 0.5 0.1  
Cash provided by (used in) operating activities 49.4 (255.9)  
Rental | HomeBuildingMember      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Rental | Land [Member]      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Rental | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Rental | Rental      
Revenues      
Home sales 327.5 156.5  
Cost of Goods and Services Sold 183.8 72.5  
Northwest | HomeBuildingMember      
Inventories:      
Total inventories 1,873.2   1,802.2
Revenues      
Total revenues 520.4 569.0  
Income (loss) before income taxes 58.7 111.8  
Southwest [Member] | HomeBuildingMember      
Inventories:      
Total inventories 2,941.9   2,801.7
Revenues      
Total revenues 803.0 911.6  
Income (loss) before income taxes 84.0 159.3  
South Central [Member] | HomeBuildingMember      
Inventories:      
Total inventories 3,921.2   3,931.7
Revenues      
Total revenues 1,642.1 1,694.3  
Income (loss) before income taxes 281.6 354.3  
Southeast [Member] | HomeBuildingMember      
Inventories:      
Total inventories 4,056.6   4,091.1
Revenues      
Total revenues 1,996.3 1,810.9  
Income (loss) before income taxes 411.3 415.4  
East [Member] | HomeBuildingMember      
Inventories:      
Total inventories 2,632.0   2,542.7
Revenues      
Total revenues 1,143.9 1,074.9  
Income (loss) before income taxes 189.4 202.3  
North | HomeBuildingMember      
Inventories:      
Total inventories 2,050.3   1,935.7
Revenues      
Total revenues 638.3 618.7  
Income (loss) before income taxes 69.4 $ 89.9  
Corporate, Non-Segment [Member] | HomeBuildingMember      
Inventories:      
Total inventories $ 230.6   $ 219.3