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Stockholders' Equity and Stock Compensation Plans - PSUs (Details) - $ / shares
12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Weighted-Average Grant Date Fair Value    
Vesting period 1 year 1 year
PSUs    
Number of Shares    
Nonvested balance at the beginning of the period (in shares) 277,000  
Granted (in shares) 99,180 137,777
Nonvested balance at the end of the period (in shares) 376,000 277,000
Weighted-Average Grant Date Fair Value    
Nonvested balance at the beginning of the period (in dollars per share) $ 31.65  
Granted (in dollars per share) 48.36 $ 31.63
Nonvested balance at the end of the period (in dollars per share) $ 36.05 $ 31.65
Vesting period 3 years 3 years
Percentage of shares that ultimately vest depending on fiscal year earnings per share growth rates 50.00% 50.00%
Percentage of shares that ultimately vest depending on total shareholder return 50.00% 50.00%