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Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Sep. 01, 2021
Aug. 31, 2021
Jun. 01, 2017
Summary Of Significant Accounting Policies [Line Items]            
Allowance for doubtful accounts $ 3,600,000 $ 2,800,000 $ 2,300,000   $ 2,400,000  
Equipment on operating leases useful life 40 years          
Impairment of long-lived assets $ 0 $ 24,200,000 $ 0      
Impairment, Long-Lived Asset, Held-for-Use, Statement of Income or Comprehensive Income [Extensible Enumeration] Asset Impairment Disposal And Exit Costs Net Asset Impairment Disposal And Exit Costs Net Asset Impairment Disposal And Exit Costs Net      
Research and development $ 5,200,000 $ 4,000,000 $ 5,400,000      
Goodwill impairment 0 0 0      
Contingently redeemable noncontrolling interest 41,700,000 55,600,000        
Noncash redemption value of noncontrolling interest 16,200,000 26,300,000        
Stock based compensation expense 17,100,000 12,100,000 $ 15,500,000      
Increase in retained earnings 1,035,000,000 897,500,000        
Reduction to additional paid in capital $ 375,100,000 $ 364,400,000        
ASU 2020-06            
Summary Of Significant Accounting Policies [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          
Cumulative Effect Adjustment Due to Adoption | ASU 2020-06            
Summary Of Significant Accounting Policies [Line Items]            
Increase in retained earnings       $ 5,000,000    
Reduction to additional paid in capital       (59,000,000)    
Derecognition of deferred tax liabilities       17,000,000    
Increase in convertible note due to derecognition of debt discount       $ 71,000,000    
2.875% Convertible senior notes, due 2024            
Summary Of Significant Accounting Policies [Line Items]            
Debt instrument, interest rate 2.875% 2.875% 2.875%      
2.875% Convertible senior notes, due 2028            
Summary Of Significant Accounting Policies [Line Items]            
Debt instrument, interest rate 2.875% 2.875% 2.875%      
Customer Relationships | Maximum            
Summary Of Significant Accounting Policies [Line Items]            
Estimated useful lives 20 years          
GIMSA            
Summary Of Significant Accounting Policies [Line Items]            
Interest in joint venture 50.00%          
Greenbrier-Astra Rail B.V.            
Summary Of Significant Accounting Policies [Line Items]            
Ownership percentage by parent           75.00%
Rayvag            
Summary Of Significant Accounting Policies [Line Items]            
Interest in joint venture   68.00%        
Greenbrier-Maxion            
Summary Of Significant Accounting Policies [Line Items]            
Percentage of ownership in entity 60.00%          
Amsted-Maxion Cruzeiro            
Summary Of Significant Accounting Policies [Line Items]            
Percentage of ownership in entity 29.50%          
Amsted-Maxion Cruzeiro | Greenbrier-Maxion            
Summary Of Significant Accounting Policies [Line Items]            
Percentage of ownership in entity 40.00%          
Axis LLC            
Summary Of Significant Accounting Policies [Line Items]            
Percentage of ownership in entity 41.90%