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Share Based Compensation - Fair Value Assumptions (Details) - Options - $ / shares
12 Months Ended
Sep. 29, 2018
Sep. 30, 2017
Oct. 01, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected volatility 29.20% 33.70% 33.70%
Expected dividend yield 0.00% 0.00% 0.00%
Risk-free interest rate 2.20% 1.90% 1.70%
Expected term (in years)   5 years 6 months 4 years 8 months 12 days
Weighted-average grant-date fair value (in dollars per share) $ 6.15 $ 5.35 $ 3.72
Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected term (in years) 5 years    
Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected term (in years) 5 years 6 months