Shareholders' Equity - Narrative (Details) - USD ($)	12 Months Ended
	Sep. 30, 2017	Oct. 01, 2016	Oct. 03, 2015	Jun. 06, 2016	Aug. 20, 2015
Equity, Class of Treasury Stock [Line Items]
Amount repurchased	$ 34,136,000	$ 30,000,000	$ 30,000,000
Class of Warrant or Right [Line Items]
Preferred stock, par value (in dollars per share)	$ 0.01	$ 0.01
2017 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount				$ 150,000,000
Amount repurchased (in shares)	655,470
Amount repurchased	$ 34,100,000
Average repurchase price (in dollars per share)	$ 52.08
2016 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount					$ 30,000,000.0
Amount repurchased (in shares)		760,903
Amount repurchased		$ 30,000,000
Average repurchase price (in dollars per share)		$ 39.43
Preferred Share Purchase Right
Class of Warrant or Right [Line Items]
Number of shares of Series B Junior Participating Preferred Stock entitled to each right (in shares)	0.01
Exercise price per one-hundredth of a Preferred Share (in dollars per share)	$ 125.00
Minimum percentage of common stock required for Rights exercisable	20.00%