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Share-Based Compensation - Schedule of Share-based Compensation by Plan (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense $ 30,300 $ 55,300 $ 88,300
Taxes related to share-based compensation 7,200 13,700 24,100
Proceeds from issuance of common stock 90,022 39,087 21,507
Tax benefit on option exercises 46,200 4,800 7,400
Time-Based Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense 10,800 14,700 18,500
Retention Time-Based Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense 300 0 0
Restricted Stock Units (RSUs)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense 35,100 28,900 24,100
Performance Stock Units (PSUs)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense (17,800) 9,900 43,700
Performance Stock Units (PSUs) | 2018 and 2019 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense (29,800)    
Performance Stock Units (PSUs) | 2018 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense (3,900) (6,600)  
Performance Stock Units (PSUs) | 2017 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense   (5,200)  
Performance Stock Units (PSUs) | 2016 and 2017 PSU Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense     18,900
Deferred Stock and Other Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Allocated share-based compensation expense $ 1,900 $ 1,800 $ 2,000