Income Taxes - Narrative (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Oct. 03, 2021	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Operating Loss Carryforwards [Line Items]
Effective tax rate		24.50%	12.80%	23.70%
Reduction in income tax expense due to excess tax benefits on share-based payments		$ 10,300	$ 12,900	$ 8,300
Effective tax rates, excluding valuation allowance release, non-deductible goodwill impairment charge, transaction costs, and excess tax benefits on share-based payments		27.50%	25.70%	25.60%
Deferred tax liabilities for undistributed foreign earnings	$ 3,136	$ 2,200	$ 3,136
Undistributed earnings of foreign subsidiaries		81,700
Valuation allowance	13,040	12,286	13,040
Unrecognized tax benefits	12,899	8,908	12,899	$ 9,228	$ 9,169
Accrual of additional interest and penalties		500	800	800
Reduction in accrued interest and penalties		400	0	0
Amount of interest and penalties accrued	5,200	5,300	5,200	$ 4,400
Canada
Operating Loss Carryforwards [Line Items]
Foreign earnings repatriated			80,000
Tax expense related to repatriation of foreign earnings			5,600
Undistributed foreign earnings no longer indefinitely reinvested	20,100		20,100
Deferred tax liabilities for undistributed foreign earnings	3,100		3,100
Foreign
Operating Loss Carryforwards [Line Items]
Tax benefit primarily consisting of valuation allowances	$ 21,600		$ 21,600
Net operating loss carry forwards which expire at various dates		17,900
Net operating loss carryforwards		119,100
Net operating loss carry forwards which have no expiration date		101,200
Capital loss carryforwards		18,400
Research and development credits		3,900
State
Operating Loss Carryforwards [Line Items]
Net operating loss carry forwards which expire at various dates		$ 43,700