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Shareholders' Equity and Stock-Based Compensation - Additional Information (Detail)
12 Months Ended
Sep. 30, 2024
Common Stock [Member]  
Class of Stock [Line Items]  
Right of holders to elect company's board of directors 25.00%
Class B Stock [Member]  
Class of Stock [Line Items]  
Right of holders to elect company's board of directors 75.00%