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Benefit Plans - Schedule of Estimated Option Grants Using Black-Scholes Pricing Model (Details) - Options and SARs
12 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Oct. 03, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected life (years) 5 years 8 months 12 days 5 years 8 months 12 days  
Risk-free interest rate 1.50%    
Risk-free interest rate, Minimum   1.23% 1.52%
Risk-free interest rate, Maximum   1.87% 1.64%
Expected volatility 34.00%    
Expected volatility, Minimum   35.00% 37.00%
Expected volatility, Maximum   37.00% 38.00%
Dividend yield 0.00% 0.00% 0.00%
Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected life (years)     4 years 6 months 1 day
Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected life (years)     5 years 8 months 12 days