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Shareholders' Equity (Details)
$ / shares in Units, $ in Thousands
 12 Months Ended
Oct. 10, 2024
$ / shares
Oct. 04, 2024
USD ($)
Aug. 31, 2024
USD ($)
$ / shares
shares
Sep. 02, 2023
USD ($)
$ / shares
shares
Sep. 03, 2022
$ / shares
Oct. 31, 2023
individual
shares
Jun. 29, 2021
shares
Components Of Shareholders Equity [Line Items]              
Preferred stock, shares authorized     5,000,000 5,000,000      
Preferred stock, shares outstanding     0 0      
Preferred stock, shares issued     0 0      
Number of individuals eligible for nomination | individual           2  
Common stock, ownership percentage threshold, two board-member nomination           0.10  
Common stock, ownership percentage threshold, transferee percentage           0.15  
Maximum              
Components Of Shareholders Equity [Line Items]              
Common stock, ownership percentage           0.10  
Minimum              
Components Of Shareholders Equity [Line Items]              
Common stock, ownership percentage           0.05  
Subsequent Event              
Components Of Shareholders Equity [Line Items]              
Dividend payable amount | $   $ 47,518          
Dividends declared per Common Share (in USD per share) | $ / shares $ 0.85            
Treasury Stock              
Components Of Shareholders Equity [Line Items]              
Treasury stock repurchased, and treasury stock repurchased and retired (in shares)     1,991,000 1,034,000      
Treasury stock repurchased, and treasury stock repurchased and retired | $     $ 187,695 $ 95,779      
Stock issued during period, shares, treasury stock reissued (in shares)     53,000 56,000      
Class A Common Stock              
Components Of Shareholders Equity [Line Items]              
Treasury stock, shares, retired (in shares)     1,893,000 976,000      
Common stock, voting rights     one        
Dividends declared per Common Share (in USD per share) | $ / shares     $ 3.32 $ 3.16 $ 3.00    
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)     98,000 58,000      
Accrual for exercise tax on share repurchase | $     $ 1,523 $ 0      
Class B Common Stock              
Components Of Shareholders Equity [Line Items]              
Common stock, voting rights     10        
Dividends declared per Common Share (in USD per share) | $ / shares     $ 0 $ 3.16 $ 3.00    
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)     1,831,000       5,000,000