Shareholders' Equity - Narrative (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019	Aug. 18, 2022	Aug. 11, 2021	Nov. 18, 2020	Aug. 13, 2020	Aug. 20, 2019
2019 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount									$ 50,000
Amount repurchased (in shares)		73,560	609,935	54,965
Amount repurchased		$ 5,300	$ 41,400	$ 3,300
Average repurchase price (in dollars per share)		$ 72.44	$ 67.86	$ 59.66
2021 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount							$ 100,000	$ 50,000
Amount repurchased (in shares)		1,171,246
Amount repurchased		$ 100,000
Average repurchase price (in dollars per share)		$ 85.40
Stock Repurchase Program, Additional Authorized Amount							$ 50,000
2022 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount						$ 50,000
Amount repurchased (in shares)	564,718	34,381
Amount repurchased	$ 46,900	$ 3,100
Average repurchase price (in dollars per share)	$ 83.07	$ 90.16
2023 Stock Repurchase Program
Equity, Class of Treasury Stock [Line Items]
Authorized repurchase amount					$ 50,000
Amount repurchased (in shares)	38,397
Amount repurchased	$ 3,500
Average repurchase price (in dollars per share)	$ 90.63
Remaining authorized repurchase amount	$ 46,500