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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 |  |  |

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