Employee Stock Purchase and Stock Incentive Plans (Stock Option Activity Under the 1999 Plans and the 1981 Plan) (Details) - $ / shares	12 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]
Number of stock options outstanding, beginning balance (in shares)	926,606	1,766,759	2,516,825
Number of stock options, Exercised (in shares)	(212,467)	(828,529)	(636,019)
Number of stock options, Canceled or expired (in shares)	(7,650)	(11,624)	(114,047)
Number of stock options outstanding, ending balance (in shares)	706,489	926,606	1,766,759
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]
Weighted Average Exercise Price, beginning balance (in dollars per share)	$ 45.48	$ 45.53	$ 46.19
Weighted Average Exercise Price, Exercised (in dollars per share)	44.05	45.63	46.93
Weighted Average Exercise Price, Canceled or expired (in dollars per share)	45.31	42.10	52.26
Weighted Average Exercise Price, ending balance (in dollars per share)	$ 45.91	$ 45.48	$ 45.53