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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands
1 Months Ended 12 Months Ended
Jul. 23, 2015
Sep. 30, 2016
Oct. 02, 2015
Sep. 26, 2014
Shares used to calculate EPS:        
Weighted average shares outstanding (denominator used to compute basic EPS)   120,133 125,007 130,483
Diluted effect of stock options and restricted stock   1,350 1,103 1,888
Denominator used to compute diluted EPS   121,483 126,110 132,371
Antidilutive stock options and restricted stock   2,142 3,237 2,074
Share Repurchases        
Amount authorized to be repurchased $ 500,000,000      
Average cost per share repurchased ($ per share) $ 44.76      
Number of shares repurchased (in shares) 3,408