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Notes Payable (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Sep. 30, 2024
Estimate of Fair Value Measurement [Member]    
Debt Instrument [Line Items]    
Notes payable, Fair value $ 5,000.0 $ 5,900.0
Letters of Credit Outstanding, Amount 248.6  
Notes payable 5,097.7 5,917.7
Fair Value, Inputs, Level 2 [Member]    
Debt Instrument [Line Items]    
Notes payable, Fair value 2,900.0 3,400.0
Fair Value, Inputs, Level 3 [Member]    
Debt Instrument [Line Items]    
Notes payable, Fair value 2,100.0 2,500.0
Forestar Group [Member]    
Debt Instrument [Line Items]    
Unamortized Debt Issuance Expense 3.1 3.5
Notes payable 806.8 706.4
Financial Services [Member]    
Debt Instrument [Line Items]    
Notes payable 786.9 1,533.8
Forestar Group [Member]    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity 640.0 410.0
Line of Credit Facility, Maximum Borrowing Capacity $ 1,000.0  
Letters of credit, sublimit borrowing capacity, as a percentage 50.00%  
Revolving credit facility $ 100.0 0.0
Letters of Credit Outstanding, Amount 27.5  
Line of Credit Facility, Remaining Borrowing Capacity 512.5  
Authorized Repurchase Of Debt Securities 30.0  
Debt Repurchase Authorization Remaining 30.0  
Letter of Credit, Maximum Borrowing Capacity (in dollars) 100.0  
Notes payable $ 806.8 706.4
Line of Credit Facility, Interest Rate at Period End 5.90%  
Forestar Group [Member] | Unsecured Debt    
Debt Instrument [Line Items]    
Notes payable $ 9.9 9.9
Forestar Group [Member] | Credit Facility Maturing December 18, 2029    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity $ 575.0  
Line of Credit Facility, Expiration Date Dec. 18, 2029  
Forestar Group [Member] | Credit Facility Maturing October 28, 2026    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity $ 65.0  
Line of Credit Facility, Expiration Date Oct. 28, 2026  
Home Building Consolidated    
Debt Instrument [Line Items]    
Unamortized Debt Issuance Expense $ 10.9 11.7
Line of Credit Facility, Current Borrowing Capacity 2,230.0 2,190.0
Line of Credit Facility, Maximum Borrowing Capacity $ 3,000.0  
Letters of credit, sublimit borrowing capacity, as a percentage 100.00%  
Revolving credit facility $ 0.0 0.0
Letters of Credit Outstanding, Amount 221.1  
Line of Credit Facility, Remaining Borrowing Capacity 2,010.0  
Authorized Repurchase Of Debt Securities 500.0  
Debt Repurchase Authorization Remaining 500.0  
Notes payable 2,448.2 2,926.8
Home Building Consolidated | Unsecured Debt    
Debt Instrument [Line Items]    
Notes payable 166.6 146.2
Home Building Consolidated | Credit Facility Maturing December 18, 2029    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity $ 1,965.0  
Line of Credit Facility, Expiration Date Dec. 18, 2029  
Home Building Consolidated | Credit Facility Maturing October 28, 2027    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity $ 265.0  
Line of Credit Facility, Expiration Date Oct. 28, 2027  
Rental    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity $ 1,050.0  
Line of Credit Facility, Maximum Borrowing Capacity $ 2,000.0  
Letters of credit, sublimit borrowing capacity, as a percentage 50.00%  
Revolving credit facility $ 1,050.0 745.0
Letters of Credit Outstanding, Amount 0.0  
Line of Credit Facility, Remaining Borrowing Capacity 0.0  
Letter of Credit, Maximum Borrowing Capacity (in dollars) 100.0  
Notes payable $ 1,055.8 750.7
Line of Credit Facility, Interest Rate at Period End 6.20%  
Proceeds from Lines of Credit $ 560.0  
Repayments of Lines of Credit 255.0  
Rental | Unsecured Debt    
Debt Instrument [Line Items]    
Notes payable $ 5.8 5.7
SeniorNoteFortyTwo [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 2.50%  
Notes payable $ 0.0 500.0
Maturities of Senior Debt $ 500.0  
SeniorNoteFortyFour | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 2.60%  
Notes payable $ 499.2 499.0
Senior Note Forty Six | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 1.30%  
Notes payable $ 598.0 597.7
Senior Note Forty Five | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 1.40%  
Notes payable $ 497.6 497.4
Senior Note Forty Eight | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 5.00%  
Notes payable $ 686.8 686.5
Senior Note Member Forty Six | Forestar Group [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 3.85%  
Notes payable $ 398.6 398.4
Senior Note Member Forty Three | Forestar Group [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 5.00%  
Notes payable $ 298.3 298.1
Commitments to Extend Credit | Financial Services [Member]    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity 1,600.0  
Line of Credit Facility, Maximum Borrowing Capacity 2,000.0  
Deposit Liabilities, Collateral Issued, Financial Instruments 1,670.0  
Participating Mortgage Loans, Mortgage Obligations, Amount $ 1,640.0  
Assets Sold under Agreements to Repurchase, Interest Rate 6.00%  
Notes payable $ 669.8 1,229.3
Warehouse Agreement Borrowings | Financial Services [Member]    
Debt Instrument [Line Items]    
Line of Credit Facility, Current Borrowing Capacity 500.0  
Deposit Liabilities, Collateral Issued, Financial Instruments 129.2  
Participating Mortgage Loans, Mortgage Obligations, Amount $ 120.4  
Assets Sold under Agreements to Repurchase, Interest Rate 5.70%  
Notes payable $ 117.1 $ 304.5