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Stock Repurchase and Dividends - Narrative (Details) - USD ($)
9 Months Ended 12 Months Ended
Jul. 30, 2018
Jul. 01, 2018
Oct. 01, 2017
Nov. 07, 2016
Subsequent Event [Line Items]        
Maximum repurchase amount under stock repurchase program       $ 200,000,000
Shares repurchased through open market purchases (in shares)   1,491,569 2,266,397  
Average price of shares repurchased (in dollars per share)   $ 50.28 $ 44.12  
Cost of shares repurchased   $ 75,000,000 $ 100,000,000  
Subsequent Event        
Subsequent Event [Line Items]        
Quarterly cash dividend declared (in dollars per share) $ 0.12