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Employee Stock Purchase and Stock Incentive Plans (Stock Purchase and Stock Option Plans Information on the 1999 Plans) (Details) - shares
12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of shares authorized (in shares) 30,950,000  
Number of remaining shares reserved for issuance (in shares) 4,928,513  
Number of shares relating to outstanding stock options at September 27, 2019 (in shares) 573,984  
Number of shares available for future awards (in shares) 4,354,529 4,925,958
1999 SIP    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of shares authorized (in shares) 29,850,000  
Number of remaining shares reserved for issuance (in shares) 4,628,834  
Number of shares relating to outstanding stock options at September 27, 2019 (in shares) 461,859  
Number of shares available for future awards (in shares) 4,166,975 4,704,458
1999 SIP | Other Than Option Stock Appreciation Rights SARS    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award number of shares, fungible share basis (in shares) 1.92  
Award number of shares, non-fungible share basis (in shares) 1  
1999 ODSP    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of shares authorized (in shares) 1,100,000  
Number of remaining shares reserved for issuance (in shares) 299,679  
Number of shares relating to outstanding stock options at September 27, 2019 (in shares) 112,125  
Number of shares available for future awards (in shares) 187,554 221,500
Award number of shares, non-fungible share basis (in shares) 1.92