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Retirement Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
Retirement Benefits [Abstract]      
Minimum service period for employee to participate in the defined contribution plans 1 year    
Employer contributions to the plans $ 11.4 $ 10.7 $ 9.8
Assets related to deferred compensation plans 25.0 20.9  
Liabilities related to deferred compensation plans $ 25.2 $ 20.8