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Summary of Significant Accounting Policies (Details) $ in Millions		12 Months Ended
	Oct. 01, 2025 USD ($) Home	Sep. 30, 2025 USD ($)	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)
Business Information [Line Items]
Cash and cash equivalents		$ 2,985.4	$ 4,516.4
Payments to Acquire Businesses, Net of Cash Acquired		53.1	40.4	$ 212.9
Advertising expense		108.2	72.3	$ 64.7
Unrecognized Tax Benefits that Would Impact Effective Tax Rate		$ 0.0	0.0
Subsequent Event [Member]
Business Information [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired	$ 80.0
Business Acquisition, Number of Homes Acquired | Home	160
Business Acquisition, Number of Lots Acquired | Home	260
Business Acquisition, Backlog Acquired | Home	110
Business Acquisition, Number of Controlled Lots Acquired through Land Purchase Contracts | Home	1,320
Maximum [Member] | Restricted Stock Units (RSUs) [Member]
Business Information [Line Items]
Remaining vesting period		4 years 1 month 6 days
Forestar Group [Member]
Business Information [Line Items]
Noncontrolling Interest, Ownership Percentage by Parent		62.00%
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners		38.00%
Subsidiaries [Member]
Business Information [Line Items]
Cash and cash equivalents		$ 68.5	78.4
Variable Interest Entity, Not Primary Beneficiary [Member]
Business Information [Line Items]
Variable Interest Entity, Reporting Entity Involvement, Maximum Loss Exposure, Amount		2,100.0	1,900.0
Accounts Receivable [Member]
Business Information [Line Items]
Cash and cash equivalents		$ 341.7	$ 304.9

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