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Share-Based Compensation - Performance-Based Options Narrative (Details) - USD ($)
shares in Thousands, $ in Millions
12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Performance-Based Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance-based options, grants in period, weighted average grant date fair value (in dollars per share) 0    
Total intrinsic value of performance-based options exercised $ 34.9 $ 8.9 $ 7.4
Performance-Based Options | Performance-Based Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award expiration period 10 years    
Performance Stock Units (PSUs) | 2018 and 2019 Performance Stock Unit Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 3 years    
Performance Stock Units (PSUs) | 2020 Performance Stock Unit Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 3 years