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Share-Based Compensation - Schedule of Share-based Compensation by Plan (Details) - USD ($) $ in Thousands | 12 Months Ended
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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

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