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Shareholders' Equity (Details)
$ / shares in Units, $ in Thousands
12 Months Ended
Oct. 07, 2025
$ / shares
Oct. 02, 2025
USD ($)
Aug. 30, 2025
USD ($)
$ / shares
shares
Aug. 31, 2024
USD ($)
vote
$ / shares
shares
Sep. 02, 2023
$ / shares
Aug. 30, 2025
vote
Aug. 30, 2025
item
Oct. 31, 2023
shares
Jun. 29, 2021
shares
Components Of Shareholders Equity [Line Items]                  
Preferred stock, shares authorized     5,000,000 5,000,000          
Preferred stock, shares issued     0 0          
Preferred stock, shares outstanding     0 0          
Subsequent Event                  
Components Of Shareholders Equity [Line Items]                  
Dividends declared per Common Share (in USD per share) | $ / shares $ 0.87                
Dividend payable amount | $   $ 48,537              
Treasury Stock                  
Components Of Shareholders Equity [Line Items]                  
Treasury stock repurchased, and treasury stock repurchased and retired (in shares)     496,000 1,991,000          
Treasury stock repurchased, and treasury stock repurchased and retired | $     $ 39,317 $ 187,695          
Stock issued during period, shares, treasury stock reissued (in shares)     59,000 53,000          
Class A Common Stock                  
Components Of Shareholders Equity [Line Items]                  
Treasury stock, shares, retired (in shares)     417,000 1,893,000          
Common stock, voting rights per share       1   1 1    
Dividends declared per Common Share (in USD per share) | $ / shares     $ 3.40 $ 3.32 $ 3.16        
Class of warrant or right, number of securities called by each warrant or right (in shares)               1.225  
Class A Common Stock | Treasury Stock                  
Components Of Shareholders Equity [Line Items]                  
Shares repurchased by the company for associates' tax withholding liability associated with share-based compensation (in shares)     79,000 98,000          
Accrual for exercise tax on share repurchase | $     $ 71 $ 1,523          
Class B Common Stock                  
Components Of Shareholders Equity [Line Items]                  
Common stock, voting rights per share | item             10    
Dividends declared per Common Share (in USD per share) | $ / shares     $ 0 $ 0 $ 3.16        
Share Repurchase Program | Class A Common Stock                  
Components Of Shareholders Equity [Line Items]                  
Stock repurchase program, number of shares authorized to be repurchased (in shares)     1,413,000           5,000,000