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Stockholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Thousands, shares in Millions
3 Months Ended 4 Months Ended 12 Months Ended
Sep. 30, 2018
Jul. 08, 2018
Apr. 15, 2018
Jan. 21, 2018
Sep. 30, 2018
Oct. 01, 2017
Oct. 02, 2016
Equity, Class of Treasury Stock [Line Items]              
Document Fiscal Year Focus         2018    
Current Fiscal Year End Date         --09-30    
Treasury Stock, Shares, Acquired         3.9    
Treasury Stock, Value, Acquired, Cost Method         $ 340,000 $ 327,153 $ 291,853
Increase (Decrease) in Payables under Repurchase Agreements         $ (14,362) $ 7,208 $ (7,208)
Common Stock, Dividends, Per Share, Declared $ 0 $ 0.40 $ 0.40 $ 0.40 $ 1.60 $ 1.60 $ 1.20
Dividends, Common Stock         $ 45,700    
Stock Repurchase Program, Remaining Authorized Repurchase Amount $ 41,000       41,000    
Treasury Stock [Member]              
Equity, Class of Treasury Stock [Line Items]              
Treasury Stock, Value, Acquired, Cost Method         $ 340,000 $ 327,153 $ 291,853