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Retirement Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2018
Oct. 01, 2017
Oct. 02, 2016
Retirement Benefits [Abstract]      
Minimum service period for employee to participate in the defined contribution plans 1 year    
Employer contributions to the plans $ 22.4 $ 11.4 $ 10.7
Assets related to deferred compensation plans 29.4 25.0  
Liabilities related to deferred compensation plans $ 30.2 $ 25.2