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Notes Payable - Terms (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Debt Instrument [Line Items]    
Notes payable, carrying value $ 6,066.9 $ 5,412.4
Home Building Consolidated    
Debt Instrument [Line Items]    
Notes payable, carrying value 2,942.6 3,213.3
Forestar Group [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount 700.0  
Notes payable, carrying value 706.0 704.5
Senior Note Twenty Seven [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 300.0  
Debt Instrument, Maturity Date Feb. 15, 2023  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 4.90%  
Senior notes, stated interest rate 4.75%  
Notes payable, carrying value $ 299.9 299.5
SeniorNoteTwentyEight [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 400.0  
Debt Instrument, Maturity Date Aug. 15, 2023  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 5.90%  
Senior notes, stated interest rate 5.75%  
Notes payable, carrying value $ 399.6 399.1
SeniorNoteFortyTwo [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 500.0  
Debt Instrument, Maturity Date Oct. 15, 2024  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 2.70%  
Senior notes, stated interest rate 2.50%  
Notes payable, carrying value $ 498.2 497.3
SeniorNoteFortyFour | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 500.0  
Debt Instrument, Maturity Date Oct. 15, 2025  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 2.80%  
Senior notes, stated interest rate 2.60%  
Notes payable, carrying value $ 497.1 496.2
SeniorNoteFortySIx | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 600.0  
Debt Instrument, Maturity Date Oct. 15, 2026  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 1.50%  
Senior notes, stated interest rate 1.30%  
Notes payable, carrying value $ 595.5 594.5
Senior Note Forty Five [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 500.0  
Debt Instrument, Maturity Date Oct. 15, 2027  
Debt Instrument, Call Feature Yes  
Debt Instrument, Interest Rate, Effective Percentage 1.60%  
Senior notes, stated interest rate 1.40%  
Notes payable, carrying value $ 495.7 494.9
Senior Notes [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Debt Instrument, Redemption Price, Percentage 100.00%  
Senior Note Member Forty Three | Forestar Group [Member]    
Debt Instrument [Line Items]    
Debt Instrument, Face Amount $ 300.0  
Debt Instrument, Interest Rate, Effective Percentage 5.20%  
Senior notes, stated interest rate 5.00%  
Notes payable, carrying value $ 297.0 296.5
Senior Note Member Twenty Five [Member] | Home Building Consolidated    
Debt Instrument [Line Items]    
Senior notes, stated interest rate 4.375%  
Notes payable, carrying value $ 0.0 $ 349.6