Stock Repurchases (Details) - USD ($)	12 Months Ended
	Oct. 03, 2020	Sep. 28, 2019	Sep. 29, 2018	Feb. 05, 2020	Oct. 28, 2018	Feb. 06, 2018
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase of common stock				$ 100,000,000.0	$ 250,000,000.0	$ 100,000,000.0
Payments for Repurchase of Common Stock	$ 0	$ 77,410,000	$ 100,000,000
July 2014 repurchase program
Equity, Class of Treasury Stock [Line Items]
Number of shares of outstanding common stock repurchased and retired (shares)		603,828	574,946
Stock repurchase, price paid per share (dollars per share)		$ 128.20	$ 173.91
Total cost of stock repurchased, net		$ 77,400,000	$ 100,000,000.0
Oct 2018 repurchase program [Member] [Domain] [Domain]
Equity, Class of Treasury Stock [Line Items]
Repurchase limit per quarter					$ 75,000,000.0