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Notes Payable, Net - Additional Information (Detail) - USD ($)
$ / shares in Units, shares in Millions
1 Months Ended 12 Months Ended
Nov. 30, 2023
Feb. 28, 2022
Aug. 31, 2024
Feb. 01, 2024
Aug. 31, 2023
Aug. 31, 2022
Debt Instrument [Line Items]            
Debt instrument amount outstanding     $ 1,420,900,000   $ 1,329,900,000  
2026 Term Loan            
Debt Instrument [Line Items]            
Debt instrument, maturity month and year     2026-08      
Periodic Principal Payment     $ 3,700,000      
Balloon payment     $ 222,600,000      
Swap agreement interest rate     75.00%      
Debt instrument amount outstanding     $ 251,700,000      
2026 Term Loan | SOFR            
Debt Instrument [Line Items]            
Debt instrument, percentage points added to the reference rate     1.50%      
2026 Term Loan | SOFR Adjustment            
Debt Instrument [Line Items]            
Debt instrument, percentage points added to the reference rate     0.10%      
2027 Term Loan            
Debt Instrument [Line Items]            
Debt instrument, maturity month and year     2027-08      
Periodic Principal Payment     $ 3,100,000      
Balloon payment     $ 283,700,000      
Swap agreement interest rate     100.00%      
Debt instrument amount outstanding     $ 320,500,000      
2027 Term Loan | SOFR            
Debt Instrument [Line Items]            
Debt instrument, percentage points added to the reference rate     1.625%      
2027 Term Loan | SOFR Adjustment            
Debt Instrument [Line Items]            
Debt instrument, percentage points added to the reference rate     0.10%      
2.875% Convertible senior notes, due 2028            
Debt Instrument [Line Items]            
Debt instrument, effective interest rate     5.75%      
Debt instrument, interest rate     2.875%   2.875% 2.875%
Description of long term debt     Convertible senior notes, due 2028 (2028 Convertible Notes), bear interest at a fixed rate of 2.875%, paid semiannually in arrears on April 15th and October 15th.      
Frequency of payments     semiannually      
Debt instrument, maturity date     Apr. 15, 2028      
Convertible senior notes     $ 373,800,000   $ 373,800,000  
Convertible notes initial conversion rate, shares per $1,000 principal amount     0.180317      
Debt instrument, convertible, principal amount     $ 1,000      
Convertible notes conversion rate, per share     $ 55.46      
Number of shares reserved for future issuance     8.2      
2.875% Convertible senior notes, due 2028 | Redemption on or After April 15, 2025            
Debt Instrument [Line Items]            
Debt instrument, convertible, latest date     Jan. 15, 2028      
Debt instrument redemption start date     Apr. 15, 2025      
Debt instrument redemption end date     Apr. 15, 2028      
Debt instrument, convertible, threshold percentage of stock price trigger     130.00%      
Debt instrument redemption description     Additionally, the Company may elect to call the notes on or after April 15, 2025 and on or before the 40th trading day prior to April 15, 2028, at a cash redemption price described in the 2028 Notes Indenture if the stock price exceeds 130% of the conversion price during certain trading days as defined in the 2028 Notes Indenture.      
2.875% Convertible senior notes, due 2024            
Debt Instrument [Line Items]            
Debt instrument, interest rate     2.875%   2.875% 2.875%
Debt instrument, maturity date     Feb. 01, 2024      
Convertible senior notes     $ 0 $ 47,700,000 $ 47,700,000  
Leasing Nonrecourse Term Loans | Asset-Backed Term Notes            
Debt Instrument [Line Items]            
Debt instrument amount outstanding     $ 471,600,000      
GBX Leasing Warehouse Facility            
Debt Instrument [Line Items]            
Swap agreement interest rate     74.00%      
GBX Leasing Warehouse Facility | SOFR Adjustment            
Debt Instrument [Line Items]            
Debt instrument, percentage points added to the reference rate     0.11%      
GBX Leasing Warehouse Facility | GBXL I Series 2022-1 Notes            
Debt Instrument [Line Items]            
Debt, Principal amount   $ 323,300,000        
Debt instrument, maturity month and year   2022-02        
Frequency of payments     monthly      
Debt instrument, maturity date     Feb. 20, 2052      
Debt instrument, repayment date     Jan. 20, 2029      
Debt instrument, maturity year     2052      
Debt instruments additional interest rate per annum     4.00%      
GBX Leasing Warehouse Facility | GBXL I Series 2022-1 Notes | GBXL I Series 2022-1 Class A Secured Railcar Equipment Notes            
Debt Instrument [Line Items]            
Debt, Principal amount     $ 274,800,000      
Debt instrument, interest rate     2.87%      
GBX Leasing Warehouse Facility | GBXL I Series 2022-1 Notes | GBXL I Series 2022-1 Class B Secured Railcar Equipment Notes            
Debt Instrument [Line Items]            
Debt, Principal amount     $ 20,700,000      
Debt instrument, interest rate     3.45%      
GBX Leasing Warehouse Facility | 2023 GBXL Notes            
Debt Instrument [Line Items]            
Debt, Principal amount $ 178,500,000          
Debt instrument, maturity month and year 2023-11          
Frequency of payments     monthly      
Debt instrument, maturity date     Nov. 20, 2053      
Debt instrument, repayment date     Nov. 20, 2030      
Debt instrument, maturity year     2053      
Debt instruments additional interest rate per annum     4.00%      
GBX Leasing Warehouse Facility | 2023 GBXL Notes | GBXL I Series 2023-1 Class A Secured Railcar Equipment Notes            
Debt Instrument [Line Items]            
Debt, Principal amount     $ 156,700,000      
Debt instrument, interest rate     6.42%      
GBX Leasing Warehouse Facility | 2023 GBXL Notes | GBXL I Series 2023-1 Class B Secured Railcar Equipment Notes            
Debt Instrument [Line Items]            
Debt, Principal amount     $ 19,400,000      
Debt instrument, interest rate     7.28%