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Employee Stock Award and Benefit Plans - Employee Retirement and Investment and Stock Purchase Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Oct. 01, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Postretirement benefit plan, maximum employer contribution rate 4.00%    
Employer contributions to retirement and investment plans net of forfeitures $ 5.6 $ 4.8 $ 4.1