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Income Taxes - Acquisition and integration expenses information (Details) - USD ($)
 12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Effective tax rate (as a percent) 31.30% 32.60% 51.20%
Effective income tax rate excluding R&D credits, acquisition expenses and debt pre-payment fees (as a percent) 34.20% 30.90%  
Tax benefit recognized based on IRS examination and settlement. $ 1,200,000    
Payments made to tax authorities 23,000,000    
Acquisition and integration expenses and debt pre-payment fees   $ 13,300,000  
Income tax benefit on business combination acquisition and integration expenses and debt pre-payment fees   0  
Business combination acquisition related expenses   6,400,000  
Business combination integration costs and debt pre-payment fees   6,900,000  
R&D credits   $ 2,000,000  
Accounting Standards Update 2016-09      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Excess tax benefit $ 4,900,000