Stock Repurchases (Details) - USD ($)	12 Months Ended
	Sep. 29, 2018	Oct. 28, 2018	Feb. 06, 2018
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase of common stock			$ 100,000,000
Subsequent Event
Equity, Class of Treasury Stock [Line Items]
Repurchase program, authorized amount		250,000,000.0
Repurchase program, authorized amount, quarterly		75,000,000.0
July 2014 repurchase program
Equity, Class of Treasury Stock [Line Items]
Number of shares of outstanding common stock repurchased and retired (shares)	574,946
Stock repurchase, price paid per share (dollars per share)	$ 173.91
Total cost of stock repurchased, net	$ 100,000,000