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Segment Information (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022	Sep. 30, 2022
Assets [Abstract]
Cash and cash equivalents	$ 3,051.1		$ 3,051.1		$ 2,540.5
Restricted cash	23.5		23.5		32.4
Inventories:
Construction in progress and finished homes	9,290.6		9,290.6		9,798.2
Residential land and lots — developed and under development	9,940.4		9,940.4		9,173.1
Land held for development	88.3		88.3		110.8
Land held for sale	20.4		20.4		29.4
Rental properties	3,232.0		3,232.0		2,544.2
Total inventories	22,571.7		22,571.7		21,655.7
Mortgage loans held for sale	2,124.0		2,124.0		2,386.0
Deferred income taxes, net	112.3		112.3		141.1
Property and equipment, net	509.6		509.6		471.6
Other assets	2,615.1		2,615.1		2,960.3
Goodwill	163.5		163.5		163.5
Total assets	31,170.8		31,170.8		30,351.1
Liabilities [Abstract]
Accounts payable	1,251.3		1,251.3		1,360.3
Accrued expenses and other liabilities	2,830.8		2,830.8		3,138.3
Notes payable	5,966.9		5,966.9		6,066.9
Total liabilities	10,049.0		10,049.0		10,565.5
Revenues
Total revenues	7,972.9	$ 7,999.0	15,230.6	$ 15,052.4
Inventory and land option charges	23.8	15.2	51.4	20.0
Cost of sales	5,996.2	5,429.9	11,287.5	10,335.6
Selling, General and Administrative Expense	(773.6)	(695.1)	(1,510.5)	(1,361.0)
Other (income) expense	(42.2)	(9.3)	(79.9)	(24.8)
Income (loss) before income taxes	1,245.3	1,883.3	2,512.5	3,380.6
Depreciation and amortization			46.5	39.3
Cash provided by (used in) operating activities			1,473.6	(834.6)
HomeBuildingMember
Revenues
Home sales	7,449.7	7,499.2	14,158.9	14,155.6
Cost of Goods and Services Sold	5,781.2	5,291.5	10,838.8	10,087.8
Land [Member]
Revenues
Home sales	82.7	54.8	166.7	111.0
Cost of Goods and Services Sold	34.4	25.0	58.3	57.9
Financial Services [Member]
Revenues
Home sales	216.4	222.1	353.4	406.4
Rental
Revenues
Home sales	224.1	222.9	551.6	379.4
Cost of Goods and Services Sold	156.8	98.2	339.0	169.9
Intersegment Eliminations [Member]
Assets [Abstract]
Cash and cash equivalents	24.6		24.6		21.8
Restricted cash	0.0		0.0		0.0
Inventories:
Construction in progress and finished homes	(146.4)		(146.4)		(153.3)
Residential land and lots — developed and under development	(73.0)		(73.0)		(82.0)
Land held for development	0.0		0.0		0.0
Land held for sale	0.0		0.0		0.0
Rental properties	(25.2)		(25.2)		(27.9)
Total inventories	(244.6)		(244.6)		(263.2)
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	2.0		2.0		1.9
Property and equipment, net	116.5		116.5		97.8
Other assets	(91.1)		(91.1)		132.8
Goodwill	29.2		29.2		29.2
Total assets	(163.4)		(163.4)		20.3
Liabilities [Abstract]
Accounts payable	(405.8)		(405.8)		(94.8)
Accrued expenses and other liabilities	(144.2)		(144.2)		(214.0)
Notes payable	0.0		0.0		0.0
Total liabilities	(550.0)		(550.0)		(308.8)
Revenues
Total revenues	(238.7)	(374.4)	(406.2)	(748.7)
Inventory and land option charges	(11.1)	0.0	(11.1)	0.0
Cost of sales	(278.0)	(355.0)	(476.5)	(711.2)
Selling, General and Administrative Expense	(5.6)	(2.7)	(11.0)	(5.7)
Other (income) expense	12.4	5.9	21.6	11.2
Income (loss) before income taxes	21.3	(28.0)	37.7	(54.4)
Depreciation and amortization			12.2	6.0
Cash provided by (used in) operating activities			27.0	(22.9)
Intersegment Eliminations [Member] | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	(61.8)	(43.7)	(110.9)	(81.3)
Intersegment Eliminations [Member] | Land [Member]
Revenues
Home sales	(238.7)	(374.4)	(406.2)	(748.7)
Cost of Goods and Services Sold	(204.3)	(307.0)	(352.1)	(624.8)
Intersegment Eliminations [Member] | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Intersegment Eliminations [Member] | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	(0.8)	(4.3)	(2.4)	(5.1)
HomeBuildingMember
Assets [Abstract]
Cash and cash equivalents	2,364.5		2,364.5		2,040.7
Restricted cash	8.5		8.5		11.3
Inventories:
Construction in progress and finished homes	9,437.0		9,437.0		9,951.5
Residential land and lots — developed and under development	8,093.0		8,093.0		7,322.5
Land held for development	20.7		20.7		21.0
Land held for sale	20.4		20.4		29.4
Rental properties	0.0		0.0		0.0
Total inventories	17,571.1		17,571.1		17,324.4
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	117.4		117.4		146.3
Property and equipment, net	381.0		381.0		361.8
Other assets	2,477.5		2,477.5		2,266.5
Goodwill	134.3		134.3		134.3
Total assets	23,054.3		23,054.3		22,285.3
Liabilities [Abstract]
Accounts payable	1,030.7		1,030.7		1,149.1
Accrued expenses and other liabilities	2,508.7		2,508.7		2,365.7
Notes payable	2,680.2		2,680.2		2,942.6
Total liabilities	6,219.6		6,219.6		6,457.4
Revenues
Total revenues	7,469.6	7,506.8	14,213.6	14,186.1
Inventory and land option charges	14.2	9.8	38.4	13.7
Cost of sales	5,870.6	5,348.3	11,006.4	10,203.2
Selling, General and Administrative Expense	(545.6)	(507.3)	(1,072.6)	(1,004.9)
Other (income) expense	(14.5)	(1.6)	(27.7)	(7.9)
Income (loss) before income taxes	1,067.9	1,652.8	2,162.3	2,985.9
Depreciation and amortization			30.7	30.9
Cash provided by (used in) operating activities			1,456.4	(416.2)
HomeBuildingMember | HomeBuildingMember
Revenues
Home sales	7,449.7	7,499.2	14,158.9	14,155.6
Cost of Goods and Services Sold	5,843.0	5,335.2	10,949.7	10,169.1
HomeBuildingMember | Land [Member]
Revenues
Home sales	19.9	7.6	54.7	30.5
Cost of Goods and Services Sold	13.4	3.3	18.3	20.4
HomeBuildingMember | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
HomeBuildingMember | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	0.0	0.0	0.0	0.0
Forestar Group [Member]
Assets [Abstract]
Cash and cash equivalents	286.7		286.7		264.8
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	1,920.4		1,920.4		1,932.6
Land held for development	67.6		67.6		89.8
Land held for sale	0.0		0.0		0.0
Rental properties	0.0		0.0		0.0
Total inventories	1,988.0		1,988.0		2,022.4
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	5.6		5.6		5.7
Other assets	56.0		56.0		50.1
Goodwill	0.0		0.0		0.0
Total assets	2,336.3		2,336.3		2,343.0
Liabilities [Abstract]
Accounts payable	67.7		67.7		72.2
Accrued expenses and other liabilities	313.0		313.0		365.4
Notes payable	706.8		706.8		706.0
Total liabilities	1,087.5		1,087.5		1,143.6
Revenues
Total revenues	301.5	421.6	518.2	829.2
Inventory and land option charges	20.3	5.4	22.7	6.0
Cost of sales	245.6	334.1	414.8	668.3
Selling, General and Administrative Expense	(22.0)	(24.3)	(44.9)	(45.8)
Other (income) expense	(2.0)	0.0	(5.3)	(1.6)
Income (loss) before income taxes	35.9	63.2	63.8	116.7
Depreciation and amortization			1.5	1.3
Cash provided by (used in) operating activities			21.3	76.6
Forestar Group [Member] | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	0.0	0.0	0.0	0.0
Forestar Group [Member] | Land [Member]
Revenues
Home sales	301.5	421.6	518.2	829.2
Cost of Goods and Services Sold	225.3	328.7	392.1	662.3
Forestar Group [Member] | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Forestar Group [Member] | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	0.0	0.0	0.0	0.0
Financial Services [Member]
Assets [Abstract]
Cash and cash equivalents	285.5		285.5		103.3
Restricted cash	12.6		12.6		19.7
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	2,124.0		2,124.0		2,386.0
Deferred income taxes, net	0.0		0.0		0.0
Property and equipment, net	4.0		4.0		4.3
Other assets	135.1		135.1		492.5
Goodwill	0.0		0.0		0.0
Total assets	2,561.2		2,561.2		3,005.8
Liabilities [Abstract]
Accounts payable	0.0		0.0		0.2
Accrued expenses and other liabilities	123.1		123.1		596.2
Notes payable	1,554.9		1,554.9		1,618.3
Total liabilities	1,678.0		1,678.0		2,214.7
Revenues
Total revenues	216.4	222.1	353.4	406.4
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	(146.9)	(138.0)	(281.0)	(263.2)
Other (income) expense	(16.1)	(8.7)	(31.4)	(16.7)
Income (loss) before income taxes	85.6	92.8	103.8	159.9
Depreciation and amortization			1.1	0.9
Cash provided by (used in) operating activities			232.2	(63.0)
Financial Services [Member] | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services 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 Goods and Services Sold	0.0	0.0	0.0	0.0
Financial Services [Member] | Financial Services [Member]
Revenues
Home sales	216.4	222.1	353.4	406.4
Financial Services [Member] | Rental
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services Sold	0.0	0.0	0.0	0.0
Rental
Assets [Abstract]
Cash and cash equivalents	89.8		89.8		109.9
Restricted cash	2.4		2.4		1.4
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	3,257.2		3,257.2		2,572.1
Total inventories	3,257.2		3,257.2		2,572.1
Mortgage loans held for sale	0.0		0.0		0.0
Deferred income taxes, net	(7.1)		(7.1)		(7.1)
Property and equipment, net	2.5		2.5		2.0
Other assets	37.6		37.6		18.4
Goodwill	0.0		0.0		0.0
Total assets	3,382.4		3,382.4		2,696.7
Liabilities [Abstract]
Accounts payable	558.7		558.7		233.6
Accrued expenses and other liabilities	30.2		30.2		25.0
Notes payable	1,025.0		1,025.0		800.0
Total liabilities	1,613.9		1,613.9		1,058.6
Revenues
Total revenues	224.1	222.9	551.6	379.4
Inventory and land option charges	0.4	0.0	1.4	0.3
Cost of sales	158.0	102.5	342.8	175.3
Selling, General and Administrative Expense	(53.5)	(22.8)	(101.0)	(41.4)
Other (income) expense	(22.0)	(4.9)	(37.1)	(9.8)
Income (loss) before income taxes	34.6	102.5	144.9	172.5
Depreciation and amortization			1.0	0.2
Cash provided by (used in) operating activities			(263.3)	(409.1)
Rental | HomeBuildingMember
Revenues
Home sales	0.0	0.0	0.0	0.0
Cost of Goods and Services 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 Goods and Services Sold	0.0	0.0	0.0	0.0
Rental | Financial Services [Member]
Revenues
Home sales	0.0	0.0	0.0	0.0
Rental | Rental
Revenues
Home sales	224.1	222.9	551.6	379.4
Cost of Goods and Services Sold	157.6	102.5	341.4	175.0
Northwest | HomeBuildingMember
Inventories:
Total inventories	1,777.0		1,777.0		1,802.2
Revenues
Total revenues	691.1	637.0	1,211.5	1,205.9
Income (loss) before income taxes	96.4	148.2	155.0	260.0
Southwest [Member] | HomeBuildingMember
Inventories:
Total inventories	3,020.0		3,020.0		2,801.7
Revenues
Total revenues	920.9	1,135.1	1,723.9	2,046.7
Income (loss) before income taxes	81.7	226.6	165.7	385.9
South Central [Member] | HomeBuildingMember
Inventories:
Total inventories	3,801.4		3,801.4		3,931.7
Revenues
Total revenues	1,805.8	1,838.4	3,447.9	3,532.7
Income (loss) before income taxes	267.9	416.0	549.5	770.3
Southeast [Member] | HomeBuildingMember
Inventories:
Total inventories	3,979.1		3,979.1		4,091.1
Revenues
Total revenues	2,106.1	1,946.5	4,102.4	3,757.5
Income (loss) before income taxes	381.7	482.2	793.0	897.7
East [Member] | HomeBuildingMember
Inventories:
Total inventories	2,754.1		2,754.1		2,542.7
Revenues
Total revenues	1,206.9	1,219.5	2,350.8	2,294.3
Income (loss) before income taxes	183.5	265.9	373.0	468.2
North | HomeBuildingMember
Inventories:
Total inventories	2,007.2		2,007.2		1,935.7
Revenues
Total revenues	738.8	730.3	1,377.1	1,349.0
Income (loss) before income taxes	56.7	$ 113.9	126.1	$ 203.8
Corporate, Non-Segment [Member] | HomeBuildingMember
Inventories:
Total inventories	$ 232.3		$ 232.3		$ 219.3

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Carrying value as of the balance sheet date of liabilities incurred (and for which invoices have typically been received) and payable to vendors for goods and services received that are used in an entity's business.

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