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Segment Information (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024	Sep. 30, 2024
Assets [Abstract]
Cash and cash equivalents	$ 2,471.4		$ 2,471.4		$ 4,516.4
Restricted cash	46.7		46.7		27.6
Inventories:
Construction in progress and finished homes	8,651.3		8,651.3		8,875.8
Residential land and lots — developed and under development	14,412.5		14,412.5		12,948.1
Land held for development	288.6		288.6		160.6
Land held for sale	11.9		11.9		12.7
Rental properties	3,118.1		3,118.1		2,906.0
Total inventories	26,482.4		26,482.4		24,903.2
Mortgage loans held for sale	2,455.0		2,455.0		2,477.5
Deferred income taxes, net	74.6		74.6		167.5
Property and equipment, net	536.5		536.5		531.0
Other assets	3,459.9		3,459.9		3,317.6
Goodwill	163.5		163.5		163.5
Total assets	35,690.0		35,690.0		36,104.3
Liabilities [Abstract]
Accounts payable	1,373.8		1,373.8		1,345.5
Accrued expenses and other liabilities	2,939.1		2,939.1		3,016.7
Notes payable	6,518.4		6,518.4		5,917.7
Total liabilities	10,831.3		10,831.3		10,279.9
Revenues
Total revenues	7,734.0	$ 9,107.2	15,347.0	$ 16,833.1
Inventory and land option charges	30.0	13.6	46.6	19.6
Cost of sales	5,833.8	6,774.3	11,536.6	12,494.0
Selling, General and Administrative Expense	(898.7)	(880.6)	(1,776.8)	(1,715.6)
Other (income) expense	(65.6)	(76.2)	(143.4)	(152.5)
Income (loss) before income taxes	1,067.1	1,528.5	2,177.0	2,776.0
Depreciation and amortization			48.7	41.1
Net cash provided by (used in) operating activities			210.5	(470.1)
HomeBuildingMember
Revenues
Home sales	7,180.9	8,466.7	14,327.0	15,743.1
Cost of Product and Service Sold	5,564.9	6,437.3	11,033.6	11,991.1
Land [Member]
Revenues
Home sales	103.6	43.6	170.5	105.3
Cost of Product and Service Sold	56.1	20.6	94.2	44.0
Rental
Revenues
Home sales	236.6	371.3	454.3	566.5
Cost of Product and Service Sold	182.8	302.8	362.2	439.3
Financial Services [Member]
Revenues
Home sales	212.9	225.6	395.2	418.2
HomeBuildingMember
Assets [Abstract]
Cash and cash equivalents	1,904.0		1,904.0		3,623.0
Restricted cash	23.9		23.9		4.8
Inventories:
Construction in progress and finished homes	8,762.7		8,762.7		8,986.1
Residential land and lots — developed and under development	12,101.3		12,101.3		11,011.7
Land held for development	35.8		35.8		20.5
Land held for sale	11.9		11.9		12.7
Rental properties	0.0		0.0		0.0
Total inventories	20,911.7		20,911.7		20,031.0
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	127.1		127.1		211.6
Property and equipment, net	503.7		503.7		500.2
Other assets	3,054.9		3,054.9		2,976.5
Goodwill	134.3		134.3		134.3
Total assets	26,659.6		26,659.6		27,481.4
Liabilities [Abstract]
Accounts payable	1,097.1		1,097.1		1,046.1
Accrued expenses and other liabilities	2,560.1		2,560.1		2,552.0
Notes payable	3,148.5		3,148.5		2,926.8
Total liabilities	6,805.7		6,805.7		6,524.9
Revenues
Total revenues	7,202.9	8,473.6	14,370.2	15,770.3
Inventory and land option charges	29.4	13.1	41.3	18.6
Cost of sales	5,647.1	6,522.9	11,194.7	12,149.5
Selling, General and Administrative Expense	(637.8)	(614.1)	(1,274.5)	(1,217.5)
Other (income) expense	(17.0)	(21.0)	(46.9)	(50.4)
Income (loss) before income taxes	935.0	1,357.6	1,947.9	2,453.7
Depreciation and amortization			44.8	37.2
Net cash provided by (used in) operating activities			876.0	408.3
HomeBuildingMember | HomeBuildingMember
Revenues
Home sales	7,180.9	8,466.7	14,327.0	15,743.1
Cost of Product and Service Sold	5,614.7	6,505.6	11,136.7	12,113.6
HomeBuildingMember | Land [Member]
Revenues
Home sales	22.0	6.9	43.2	27.2
Cost of Product and Service Sold	3.0	4.2	16.7	17.3
HomeBuildingMember | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
HomeBuildingMember | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Rental
Assets [Abstract]
Cash and cash equivalents	98.6		98.6		157.6
Restricted cash	1.8		1.8		2.2
Inventories:
Construction in progress and finished homes	0.0		0.0		0.0
Residential land and lots — developed and under development	0.0		0.0		0.0
Land held for development	0.0		0.0		0.0
Land held for sale	0.0		0.0		0.0
Rental properties	3,115.1		3,115.1		2,902.4
Total inventories	3,115.1		3,115.1		2,902.4
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	(14.7)		(14.7)		(14.7)
Property and equipment, net	1.5		1.5		1.1
Other assets	37.4		37.4		74.5
Goodwill	0.0		0.0		0.0
Total assets	3,239.7		3,239.7		3,123.1
Liabilities [Abstract]
Accounts payable	280.2		280.2		474.2
Accrued expenses and other liabilities	29.2		29.2		67.8
Notes payable	1,050.0		1,050.0		750.7
Total liabilities	1,359.4		1,359.4		1,292.7
Revenues
Total revenues	236.6	371.3	454.3	566.5
Inventory and land option charges	0.3	0.3	3.9	0.6
Cost of sales	183.1	303.1	366.1	444.7
Selling, General and Administrative Expense	(58.0)	(61.4)	(104.3)	(108.8)
Other (income) expense	(27.3)	(26.5)	(50.8)	(51.6)
Income (loss) before income taxes	22.8	33.3	34.7	64.6
Depreciation and amortization			1.0	1.3
Net cash provided by (used in) operating activities			(381.6)	(653.9)
Rental | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Rental | Land [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Rental | Rental
Revenues
Home sales	236.6	371.3	454.3	566.5
Cost of Product and Service Sold	182.8	302.8	362.2	444.1
Rental | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Forestar Group [Member]
Assets [Abstract]
Cash and cash equivalents	174.3		174.3		481.2
Restricted cash	0.0		0.0		0.0
Inventories:
Construction in progress and finished homes	0.0		0.0		0.0
Residential land and lots — developed and under development	2,506.6		2,506.6		2,126.1
Land held for development	252.8		252.8		140.1
Land held for sale	0.0		0.0		0.0
Rental properties	0.0		0.0		0.0
Total inventories	2,759.4		2,759.4		2,266.2
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	0.0		0.0		0.0
Property and equipment, net	7.1		7.1		7.1
Other assets	101.9		101.9		85.6
Goodwill	0.0		0.0		0.0
Total assets	3,042.7		3,042.7		2,840.1
Liabilities [Abstract]
Accounts payable	70.0		70.0		85.9
Accrued expenses and other liabilities	454.4		454.4		452.8
Notes payable	872.5		872.5		706.4
Total liabilities	1,396.9		1,396.9		1,245.1
Revenues
Total revenues	351.0	333.8	601.3	639.7
Inventory and land option charges	0.9	0.2	2.0	0.4
Cost of sales	271.8	250.7	467.2	483.8
Selling, General and Administrative Expense	(38.4)	(29.2)	(74.3)	(57.2)
Other (income) expense	0.1	(5.0)	(2.8)	(11.4)
Income (loss) before income taxes	40.7	58.9	62.6	110.1
Depreciation and amortization			1.7	1.4
Net cash provided by (used in) operating activities			(469.8)	(216.0)
Forestar Group [Member] | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Forestar Group [Member] | Land [Member]
Revenues
Home sales	351.0	333.8	601.3	639.7
Cost of Product and Service Sold	270.9	250.5	465.2	483.4
Forestar Group [Member] | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Forestar Group [Member] | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Financial Services [Member]
Assets [Abstract]
Cash and cash equivalents	269.1		269.1		242.3
Restricted cash	21.0		21.0		20.6
Inventories:
Construction in progress and finished homes	0.0		0.0		0.0
Residential land and lots — developed and under development	0.0		0.0		0.0
Land held for development	0.0		0.0		0.0
Land held for sale	0.0		0.0		0.0
Rental properties	0.0		0.0		0.0
Total inventories	0.0		0.0		0.0
Mortgage loans held for sale	2,455.0		2,455.0		2,477.5
Deferred income taxes, net	0.0		0.0		0.0
Property and equipment, net	3.8		3.8		4.0
Other assets	197.2		197.2		212.3
Goodwill	0.0		0.0		0.0
Total assets	2,946.1		2,946.1		2,956.7
Liabilities [Abstract]
Accounts payable	0.2		0.2		0.8
Accrued expenses and other liabilities	306.1		306.1		234.6
Notes payable	1,447.4		1,447.4		1,533.8
Total liabilities	1,753.7		1,753.7		1,769.2
Revenues
Total revenues	212.9	225.6	395.2	418.2
Inventory and land option charges	0.0	0.0	0.0	0.0
Cost of sales	0.0	0.0	0.0	0.0
Selling, General and Administrative Expense	(160.3)	(171.2)	(314.5)	(322.7)
Other (income) expense	(20.4)	(23.6)	(40.9)	(48.5)
Income (loss) before income taxes	73.0	78.0	121.6	144.0
Depreciation and amortization			0.9	0.9
Net cash provided by (used in) operating activities			197.2	(40.7)
Financial Services [Member] | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Financial Services [Member] | Land [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Financial Services [Member] | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	0.0
Financial Services [Member] | Financial Services [Member]
Revenues
Home sales	212.9	225.6	395.2	418.2
Eliminations and Other
Assets [Abstract]
Cash and cash equivalents	25.4		25.4		12.3
Restricted cash	0.0		0.0		0.0
Inventories:
Construction in progress and finished homes	(111.4)		(111.4)		(110.3)
Residential land and lots — developed and under development	(195.4)		(195.4)		(189.7)
Land held for development	0.0		0.0		0.0
Land held for sale	0.0		0.0		0.0
Rental properties	3.0		3.0		3.6
Total inventories	(303.8)		(303.8)		(296.4)
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	(37.8)		(37.8)		(29.4)
Property and equipment, net	20.4		20.4		18.6
Other assets	68.5		68.5		(31.3)
Goodwill	29.2		29.2		29.2
Total assets	(198.1)		(198.1)		(297.0)
Liabilities [Abstract]
Accounts payable	(73.7)		(73.7)		(261.5)
Accrued expenses and other liabilities	(410.7)		(410.7)		(290.5)
Notes payable	0.0		0.0		0.0
Total liabilities	(484.4)		(484.4)		(552.0)
Revenues
Total revenues	(269.4)	(297.1)	(474.0)	(561.6)
Inventory and land option charges	(0.6)	0.0	(0.6)	0.0
Cost of sales	(268.2)	(302.4)	(491.4)	(584.0)
Selling, General and Administrative Expense	(4.2)	(4.7)	(9.2)	(9.4)
Other (income) expense	(1.0)	(0.1)	(2.0)	9.4
Income (loss) before income taxes	(4.4)	0.7	10.2	3.6
Depreciation and amortization			0.3	0.3
Net cash provided by (used in) operating activities			(11.3)	32.2
Eliminations and Other | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	(49.8)	(68.3)	(103.1)	(122.5)
Eliminations and Other | Land [Member]
Revenues
Home sales	(269.4)	(297.1)	(474.0)	(561.6)
Cost of Product and Service Sold	(217.8)	(234.1)	(387.7)	(456.7)
Eliminations and Other | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Product and Service Sold	0.0	0.0	0.0	(4.8)
Eliminations and Other | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Northwest | HomeBuildingMember
Inventories:
Total inventories	1,938.1		1,938.1		1,935.2
Revenues
Total revenues	660.4	742.1	1,193.6	1,320.0
Income (loss) before income taxes	93.7	109.3	169.9	178.8
Southwest [Member] | HomeBuildingMember
Inventories:
Total inventories	3,199.9		3,199.9		3,278.9
Revenues
Total revenues	1,063.7	1,283.4	2,203.8	2,334.8
Income (loss) before income taxes	123.3	171.0	291.7	305.9
South Central [Member] | HomeBuildingMember
Inventories:
Total inventories	4,081.9		4,081.9		3,728.0
Revenues
Total revenues	1,530.7	1,961.1	3,017.6	3,630.3
Income (loss) before income taxes	208.4	346.6	429.7	618.2
Southeast [Member] | HomeBuildingMember
Inventories:
Total inventories	4,284.6		4,284.6		4,284.5
Revenues
Total revenues	1,613.8	2,185.8	3,363.6	4,185.4
Income (loss) before income taxes	211.3	361.5	434.1	690.9
East [Member] | HomeBuildingMember
Inventories:
Total inventories	4,470.9		4,470.9		3,978.2
Revenues
Total revenues	1,360.0	1,441.8	2,674.6	2,710.1
Income (loss) before income taxes	171.8	254.5	366.2	459.1
North | HomeBuildingMember
Inventories:
Total inventories	2,645.6		2,645.6		2,551.2
Revenues
Total revenues	974.3	859.4	1,917.0	1,589.7
Income (loss) before income taxes	126.5	$ 114.7	256.3	$ 200.8
Corporate, Non-Segment [Member] | HomeBuildingMember
Inventories:
Total inventories	$ 290.7		$ 290.7		$ 275.0

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