Shareholders' Equity - Narrative (Details) - USD ($)	12 Months Ended
	Sep. 28, 2019	Sep. 29, 2018	Sep. 30, 2017	Aug. 20, 2019	Feb. 14, 2018	Jun. 06, 2016
Equity, Class of Treasury Stock [Line Items]
Remaining authorized repurchase amount	$ 46,700,000
2019 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount				$ 50,000,000.0
Amount repurchased (in shares)	54,965
Amount repurchased	$ 3,300,000
Average repurchase price (in dollars per share)	$ 59.66
2018 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount					$ 200,000,000.0
Amount repurchased (in shares)	3,129,059	343,642
Amount repurchased	$ 178,800,000	$ 21,200,000
Average repurchase price (in dollars per share)	$ 57.15	$ 61.61
2016 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount						$ 150,000,000.0
Amount repurchased (in shares)		1,914,596	655,470
Amount repurchased		$ 115,900,000	$ 34,100,000
Average repurchase price (in dollars per share)		$ 60.52	$ 52.08