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Notes Payable, Net - Additional Information (Detail) - USD ($)
$ in Millions
6 Months Ended
Nov. 20, 2023
Feb. 29, 2024
Feb. 01, 2024
Aug. 31, 2023
Feb. 28, 2023
Debt Instrument [Line Items]          
Debt instrument amount outstanding   $ 1,440.4   $ 1,329.9  
Debt issuance costs, net   6.4   6.3  
Leasing Nonrecourse Term Loans | Nonrecourse Senior Term Debt          
Debt Instrument [Line Items]          
Debt, Principal amount   343.0      
Debt instrument amount outstanding   326.6      
Leasing Nonrecourse Term Loans | Asset-Backed Term Notes          
Debt Instrument [Line Items]          
Debt, Principal amount   501.8      
Debt instrument amount outstanding   $ 479.4      
2.875% Convertible senior notes, due 2024          
Debt Instrument [Line Items]          
Convertible senior notes     $ 47.7 $ 47.7  
Debt instrument, interest rate   2.875%   2.875% 2.875%
Debt instrument, maturity date   Feb. 01, 2024      
GBX Leasing          
Debt Instrument [Line Items]          
Debt issuance costs, net $ 2.2        
GBX Leasing | 2023 GBXL Notes          
Debt Instrument [Line Items]          
Debt, Principal amount $ 178.5        
Debt instrument, maturity year 2053        
Debt instruments additional interest rate per annum 4.00%        
GBX Leasing | 2023 GBXL Notes | GBXL I Series 2023-1 Class A Secured Railcar Equipment Notes          
Debt Instrument [Line Items]          
Debt, Principal amount $ 158.9        
Debt instrument, interest rate 6.42%        
Debt instrument, maturity date Nov. 20, 2053        
GBX Leasing | 2023 GBXL Notes | GBXL I Series 2023-1 Class B Secured Railcar Equipment Notes          
Debt Instrument [Line Items]          
Debt, Principal amount $ 19.6        
Debt instrument, interest rate 7.28%        
Debt instrument, maturity date Nov. 20, 2053        
GBX Leasing | GBXL I Series 2022-1 Notes          
Debt Instrument [Line Items]          
Debt, Principal amount   $ 323.3