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Notes Payable, Net - Additional Information (Detail) - USD ($)
$ / shares in Units, shares in Millions
12 Months Ended
Jul. 29, 2022
Aug. 31, 2022
Feb. 09, 2022
Aug. 31, 2021
Aug. 31, 2020
Debt Instrument [Line Items]          
Debt instrument amount outstanding   $ 1,290,200,000   $ 915,500,000  
ASU 2020-06          
Debt Instrument [Line Items]          
Change in Accounting Principle, Accounting Standards Update, Adopted [true false]   true      
Change in Accounting Principle, Accounting Standards Update, Adoption Date   Sep. 01, 2021      
Other Term Loan Due February 2023 to February 2027          
Debt Instrument [Line Items]          
Unsecured debt   $ 1,200,000      
2026 Term Loan          
Debt Instrument [Line Items]          
Senior term debt   $ 291,900,000      
Debt instrument, maturity month and year   2026-08      
Periodic Principal Payment   $ 3,650,000      
Balloon payment   $ 222,600,000      
Swap agreement interest rate   75.00%      
Debt instrument amount outstanding   $ 280,900,000      
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]          
Senior term debt $ 200,000,000 $ 275,000,000.0      
Debt instrument, maturity month and year 2023-01 2027-08      
Additional term loan $ 75,000,000        
Additional debt available as a delayed draw $ 75,000,000        
Periodic Principal Payment   $ 2,400,000      
Balloon payment   $ 219,900,000      
Swap agreement interest rate   100.00%      
Debt instrument amount outstanding   $ 268,000,000.0      
2027 Term Loan | SOFR          
Debt Instrument [Line Items]          
Debt instrument, percentage points added to the reference rate   1.375%      
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%  
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 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   8.8      
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, effective interest rate   4.99%      
Debt instrument, interest rate   2.875%   2.875% 2.875%
Description of long term debt   Convertible senior notes, due 2024 (2024 Convertible Notes), bear interest at a fixed rate of 2.875%, paid semi-annually in arrears on February 1st and August 1st.      
Frequency of payments   semi-annually      
Debt instrument, maturity date   Feb. 01, 2024      
Convertible notes initial conversion rate, shares per $1,000 principal amount   0.166234      
Debt instrument, convertible, principal amount   $ 1,000      
Convertible notes conversion rate, per share   $ 60.16      
Number of shares reserved for future issuance   1.1      
GBX Leasing Warehouse Facility          
Debt Instrument [Line Items]          
Senior term debt   $ 323,300,000 $ 323,300,000    
Debt instrument amount outstanding   $ 318,600,000      
GBX Leasing Warehouse Facility | SOFR Adjustment          
Debt Instrument [Line Items]          
Debt instrument, percentage points added to the reference rate   0.11%