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Share-Based Employee Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Oct. 03, 2021
Del Taco RSUs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years    
Awards outstanding (in shares) 328,536 236,606  
Total unrecognized compensation cost related to stock options granted $ 11.8    
Weighted-average period for unrecognized compensation cost, (in years) 1 year 10 months 24 days    
Weighted-average grant-date fair value (in usd per share) $ 68.56 $ 78.28 $ 95.44
Total fair value of awards vested $ 4.6 $ 2.5 $ 4.3
Modified restricted stock units vested in period (in shares) 55,919    
Del Taco options subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Total unrecognized compensation cost related to stock options granted $ 0.0    
Option grants contractual term 7 years    
Total intrinsic value of stock options exercised $ 0.1   $ 1.6
Performance share awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Awards outstanding (in shares) 107,174 65,382  
Total unrecognized compensation cost related to stock options granted $ 3.2    
Weighted-average period for unrecognized compensation cost, (in years) 1 year 9 months 18 days    
Weighted-average grant-date fair value (in usd per share) $ 65.74 $ 78.95 $ 88.88
Total fair value of awards vested $ 1.8 $ 0.1 $ 0.6
Modified restricted stock units vested in period (in shares) 1,126    
Del Taco RSAs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Awards outstanding (in shares) 0 4,670  
Total unrecognized compensation cost related to stock options granted $ 0.0    
Total fair value of awards vested $ 0.4 $ 0.7  
Deferred Compensation for Non Management Directors      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Awards outstanding (in shares) 122,981 116,274  
Number of trading days 10 days    
Shares issued in connection with director retirement (in shares) 0 0  
Share-Based Payment Arrangement      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted (in shares) 0    
Minimum | Del Taco RSUs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock units vested, percentage 50.00%    
Minimum | Performance share awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance share awards vesting rights, percentage 0.00%    
Maximum | Performance share awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance share awards vesting rights, percentage 150.00%    
Executive Officers | Del Taco RSUs subject to accelerated vesting | Share-Based Payment Arrangement, Tranche One      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years    
Awards outstanding (in shares) 38,772    
Executive Officers | Del Taco RSUs subject to accelerated vesting | Share-Based Payment Arrangement, Tranche Two      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Awards outstanding (in shares) 54,561,000    
Non-Management Directors | Del Taco RSUs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 12 months    
Awards outstanding (in shares) 83,251    
Management | Del Taco RSUs subject to accelerated vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Awards outstanding (in shares) 151,952    
Two Thousand Four Stock Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Authorized (in shares) 11,600,000    
Common stock available for future issuance (in shares) 2,454,425    
Deferred Compensation Plan for Non-Management Directors      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Authorized (in shares) 350,000    
Common stock available for future issuance (in shares) 142,918    
2023 Omnibus Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Authorized (in shares) 2,500,000