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Notes Payable (Details) - USD ($)
$ in Millions
 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jul. 01, 2024
Sep. 30, 2023
Estimate of Fair Value Measurement [Member]        
Debt Instrument [Line Items]        
Notes payable, Fair value $ 5,500.0     $ 4,800.0
Letters of Credit Outstanding, Amount 242.1      
Notes payable 5,691.0     5,094.5
Notes payable issued for inventory 43.4 $ 54.5    
Fair Value, Inputs, Level 2 [Member]        
Debt Instrument [Line Items]        
Notes payable, Fair value 2,600.0     2,500.0
Fair Value, Inputs, Level 3 [Member]        
Debt Instrument [Line Items]        
Notes payable, Fair value 2,900.0     2,300.0
Forestar Group [Member]        
Debt Instrument [Line Items]        
Unamortized Debt Issuance Expense 3.8     5.0
Notes payable 706.1     695.0
Financial Services [Member]        
Debt Instrument [Line Items]        
Notes payable 1,691.4     1,669.6
Forestar Group [Member]        
Debt Instrument [Line Items]        
Line of Credit Facility, Current Borrowing Capacity 410.0      
Line of Credit Facility, Maximum Borrowing Capacity $ 600.0      
Letters of credit, sublimit borrowing capacity, as a percentage 50.00%      
Revolving credit facility $ 0.0     0.0
Letters of Credit Outstanding, Amount 24.8      
Line of Credit Facility, Remaining Borrowing Capacity 385.2      
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 706.1     695.0
Home Building Consolidated        
Debt Instrument [Line Items]        
Unamortized Debt Issuance Expense 5.9     8.4
Line of Credit Facility, Current Borrowing Capacity 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 217.3      
Line of Credit Facility, Remaining Borrowing Capacity 1,970.0      
Notes payable 2,257.8     2,329.9
Home Building Consolidated | Subsequent Event [Member]        
Debt Instrument [Line Items]        
Authorized Repurchase Of Debt Securities     $ 500.0  
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 $ 1,030.0     400.0
Letters of Credit Outstanding, Amount 0.0      
Line of Credit Facility, Remaining Borrowing Capacity 20.0      
Letter of Credit, Maximum Borrowing Capacity (in dollars) 100.0      
Notes payable $ 1,035.7     400.0
Line of Credit Facility, Interest Rate at Period End 7.40%      
Proceeds from Lines of Credit $ 1,270.0      
Repayments of Lines of Credit $ 640.0      
SeniorNoteFortyTwo [Member] | Home Building Consolidated        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 2.50%      
Notes payable $ 499.7     499.0
SeniorNoteFortyFour | Home Building Consolidated        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 2.60%      
Notes payable $ 498.8     498.0
Senior Note Forty Six | Home Building Consolidated        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 1.30%      
Notes payable $ 597.4     596.6
Senior Note Forty Five | Home Building Consolidated        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 1.40%      
Notes payable $ 497.2     496.5
Senior Note Member Forty Six | Forestar Group [Member]        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 3.85%      
Notes payable $ 398.2     397.4
Senior Note Member Forty Three | Forestar Group [Member]        
Debt Instrument [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage 5.00%      
Notes payable $ 298.0     297.6
Secured Debt [Member] | Forestar Group [Member]        
Debt Instrument [Line Items]        
Notes payable 9.9     0.0
Secured Debt [Member] | Home Building Consolidated        
Debt Instrument [Line Items]        
Notes payable 164.7     239.8
Secured Debt [Member] | Rental        
Debt Instrument [Line Items]        
Notes payable 5.7     0.0
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 1,950.0      
Participating Mortgage Loans, Mortgage Obligations, Amount $ 1,910.0      
Assets Sold under Agreements to Repurchase, Interest Rate 7.00%      
Notes payable $ 1,194.5     1,373.3
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 532.6      
Participating Mortgage Loans, Mortgage Obligations, Amount $ 511.0      
Assets Sold under Agreements to Repurchase, Interest Rate 6.50%      
Notes payable $ 496.9     $ 296.3