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Segment Information (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Sep. 30, 2024
Assets [Abstract]      
Cash and cash equivalents $ 3,050.1   $ 4,516.4
Restricted cash 18.9   27.6
Inventories:      
Construction in progress and finished homes 8,701.4   8,875.8
Residential land and lots — developed and under development 14,093.5   12,948.1
Land held for development 288.0   160.6
Land held for sale 8.7   12.7
Rental properties 2,988.9   2,906.0
Total inventories 26,080.5   24,903.2
Mortgage loans held for sale 1,794.4   2,477.5
Deferred income taxes, net 127.4   167.5
Property and equipment, net 524.2   531.0
Other assets 3,270.7   3,317.6
Goodwill 163.5   163.5
Total assets 35,029.7   36,104.3
Liabilities [Abstract]      
Accounts payable 1,372.6   1,345.5
Accrued expenses and other liabilities 3,096.5   3,016.7
Notes payable 5,097.7   5,917.7
Total liabilities 9,566.8   10,279.9
Revenues      
Total revenues 7,613.0 $ 7,726.0  
Inventory and land option charges 16.6 6.1  
Cost of sales 5,702.8 5,719.8  
Selling, General and Administrative Expense (878.1) (835.0)  
Other (income) expense (77.8) (76.3)  
Income (loss) before income taxes 1,109.9 1,247.5  
Depreciation and amortization 24.1 20.0  
Net cash provided by (used in) operating activities 646.7 (153.4)  
HomeBuildingMember      
Revenues      
Home sales 7,146.0 7,276.4  
Cost of Goods and Services Sold 5,468.7 5,553.8  
Land [Member]      
Revenues      
Home sales 66.9 61.7  
Cost of Goods and Services Sold 38.1 23.4  
Rental      
Revenues      
Home sales 217.8 195.3  
Cost of Goods and Services Sold 179.4 136.5  
Financial Services [Member]      
Revenues      
Home sales 182.3 192.6  
HomeBuildingMember      
Assets [Abstract]      
Cash and cash equivalents 2,547.9   3,623.0
Restricted cash 3.3   4.8
Inventories:      
Construction in progress and finished homes 8,808.0   8,986.1
Residential land and lots — developed and under development 11,799.4   11,011.7
Land held for development 35.3   20.5
Land held for sale 8.7   12.7
Rental properties 0.0   0.0
Total inventories 20,651.4   20,031.0
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net 169.2   211.6
Property and equipment, net 492.1   500.2
Other assets 2,939.6   2,976.5
Goodwill 134.3   134.3
Total assets 26,937.8   27,481.4
Liabilities [Abstract]      
Accounts payable 1,112.7   1,046.1
Accrued expenses and other liabilities 2,712.3   2,552.0
Notes payable 2,448.2   2,926.8
Total liabilities 6,273.2   6,524.9
Revenues      
Total revenues 7,167.2 7,296.7  
Inventory and land option charges 11.8 5.5  
Cost of sales 5,547.6 5,626.7  
Selling, General and Administrative Expense (636.6) (603.4)  
Other (income) expense (29.9) (29.5)  
Income (loss) before income taxes 1,012.9 1,096.1  
Depreciation and amortization 22.2 18.0  
Net cash provided by (used in) operating activities 552.0 31.2  
HomeBuildingMember | HomeBuildingMember      
Revenues      
Home sales 7,146.0 7,276.4  
Cost of Goods and Services Sold 5,522.0 5,608.0  
HomeBuildingMember | Land [Member]      
Revenues      
Home sales 21.2 20.3  
Cost of Goods and Services Sold 13.8 13.2  
HomeBuildingMember | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
HomeBuildingMember | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Rental      
Assets [Abstract]      
Cash and cash equivalents 113.0   157.6
Restricted cash 1.6   2.2
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 2,985.3   2,902.4
Total inventories 2,985.3   2,902.4
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net (14.7)   (14.7)
Property and equipment, net 1.3   1.1
Other assets 36.4   74.5
Goodwill 0.0   0.0
Total assets 3,122.9   3,123.1
Liabilities [Abstract]      
Accounts payable 268.6   474.2
Accrued expenses and other liabilities 25.8   67.8
Notes payable 1,055.8   750.7
Total liabilities 1,350.2   1,292.7
Revenues      
Total revenues 217.8 195.3  
Inventory and land option charges 3.6 0.4  
Cost of sales 183.0 141.7  
Selling, General and Administrative Expense (46.4) (47.4)  
Other (income) expense (23.5) (25.1)  
Income (loss) before income taxes 11.9 31.3  
Depreciation and amortization 0.5 0.6  
Net cash provided by (used in) operating activities (283.3) (516.2)  
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 | Rental      
Revenues      
Home sales 217.8 195.3  
Cost of Goods and Services Sold 179.4 141.3  
Rental | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Forestar Group [Member]      
Assets [Abstract]      
Cash and cash equivalents 132.0   481.2
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 2,484.1   2,126.1
Land held for development 252.7   140.1
Land held for sale 0.0   0.0
Rental properties 0.0   0.0
Total inventories 2,736.8   2,266.2
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net 0.0   0.0
Property and equipment, net 6.8   7.1
Other assets 85.0   85.6
Goodwill 0.0   0.0
Total assets 2,960.6   2,840.1
Liabilities [Abstract]      
Accounts payable 78.6   85.9
Accrued expenses and other liabilities 461.2   452.8
Notes payable 806.8   706.4
Total liabilities 1,346.6   1,245.1
Revenues      
Total revenues 250.4 305.9  
Inventory and land option charges 1.2 0.2  
Cost of sales 195.4 233.0  
Selling, General and Administrative Expense (36.0) (28.0)  
Other (income) expense (2.9) (6.3)  
Income (loss) before income taxes 21.9 51.2  
Depreciation and amortization 0.8 0.8  
Net cash provided by (used in) operating activities (449.9) (156.7)  
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 250.4 305.9  
Cost of Goods and Services Sold 194.2 232.8  
Forestar Group [Member] | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 0.0  
Forestar Group [Member] | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Financial Services [Member]      
Assets [Abstract]      
Cash and cash equivalents 238.6   242.3
Restricted cash 14.0   20.6
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 1,794.4   2,477.5
Deferred income taxes, net 0.0   0.0
Property and equipment, net 3.9   4.0
Other assets 141.0   212.3
Goodwill 0.0   0.0
Total assets 2,191.9   2,956.7
Liabilities [Abstract]      
Accounts payable 0.1   0.8
Accrued expenses and other liabilities 262.9   234.6
Notes payable 786.9   1,533.8
Total liabilities 1,049.9   1,769.2
Revenues      
Total revenues 182.3 192.6  
Inventory and land option charges 0.0 0.0  
Cost of sales 0.0 0.0  
Selling, General and Administrative Expense (154.2) (151.5)  
Other (income) expense (20.5) (24.9)  
Income (loss) before income taxes 48.6 66.0  
Depreciation and amortization 0.4 0.5  
Net cash provided by (used in) operating activities 813.3 464.7  
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] | Rental      
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 182.3 192.6  
Eliminations and Other      
Assets [Abstract]      
Cash and cash equivalents 18.6   12.3
Restricted cash 0.0   0.0
Inventories:      
Construction in progress and finished homes (106.6)   (110.3)
Residential land and lots — developed and under development (190.0)   (189.7)
Land held for development 0.0   0.0
Land held for sale 0.0   0.0
Rental properties 3.6   3.6
Total inventories (293.0)   (296.4)
Mortgage loans held for sale 0.0   0.0
Deferred income taxes, net (27.1)   (29.4)
Property and equipment, net 20.1   18.6
Other assets 68.7   (31.3)
Goodwill 29.2   29.2
Total assets (183.5)   (297.0)
Liabilities [Abstract]      
Accounts payable (87.4)   (261.5)
Accrued expenses and other liabilities (365.7)   (290.5)
Notes payable 0.0   0.0
Total liabilities (453.1)   (552.0)
Revenues      
Total revenues (204.7) (264.5)  
Inventory and land option charges 0.0 0.0  
Cost of sales (223.2) (281.6)  
Selling, General and Administrative Expense (4.9) (4.7)  
Other (income) expense (1.0) 9.5  
Income (loss) before income taxes 14.6 2.9  
Depreciation and amortization 0.2 0.1  
Net cash provided by (used in) operating activities 14.6 23.6  
Eliminations and Other | HomeBuildingMember      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold (53.3) (54.2)  
Eliminations and Other | Land [Member]      
Revenues      
Home sales (204.7) (264.5)  
Cost of Goods and Services Sold (169.9) (222.6)  
Eliminations and Other | Rental      
Revenues      
Home sales 0.0 0.0  
Cost of Goods and Services Sold 0.0 (4.8)  
Eliminations and Other | Financial Services [Member]      
Revenues      
Home sales 0.0 0.0  
Northwest | HomeBuildingMember      
Inventories:      
Total inventories 1,946.0   1,935.2
Revenues      
Total revenues 533.2 577.9  
Income (loss) before income taxes 76.2 69.5  
Southwest [Member] | HomeBuildingMember      
Inventories:      
Total inventories 3,187.9   3,278.9
Revenues      
Total revenues 1,140.1 1,051.4  
Income (loss) before income taxes 168.4 134.9  
South Central [Member] | HomeBuildingMember      
Inventories:      
Total inventories 3,920.9   3,728.0
Revenues      
Total revenues 1,486.9 1,669.2  
Income (loss) before income taxes 221.3 271.6  
Southeast [Member] | HomeBuildingMember      
Inventories:      
Total inventories 4,328.4   4,284.5
Revenues      
Total revenues 1,749.8 1,999.6  
Income (loss) before income taxes 222.8 329.4  
East [Member] | HomeBuildingMember      
Inventories:      
Total inventories 4,288.2   3,978.2
Revenues      
Total revenues 1,314.5 1,268.3  
Income (loss) before income taxes 194.4 204.6  
North | HomeBuildingMember      
Inventories:      
Total inventories 2,696.3   2,551.2
Revenues      
Total revenues 942.7 730.3  
Income (loss) before income taxes 129.8 $ 86.1  
Corporate, Non-Segment [Member] | HomeBuildingMember      
Inventories:      
Total inventories $ 283.7   $ 275.0