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Income Taxes - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended |
--- | --- | ---
Sep. 30, 2022 | Oct. 01, 2021 | Oct. 02, 2020 | Sep. 27, 2019
Income Tax Contingency [Line Items] |  |  |  |
Tax Rate Change | $ 3,210 | $ 25,588 | $ (6,811) |
Valuation allowance | 113,483 | 188,662 |  |
Change in deferred tax asset valuation | (75,200) |  |  |
Change in deferred tax assets valuation allowance, amount | (59,121) | 38,928 | 0 |
Change in deferred tax assets valuation allowance due to other various changes | (16,100) |  |  |
Net operating losses | 132,999 | 197,929 |  |
Foreign currency valuation allowance | 55,400 |  |  |
Undistributed earnings of foreign subsidiaries | 168,000 |  |  |
Amount of unrecognized deferred tax liability not recognized due to undistributed earnings of foreign subsidiaries | 13,100 |  |  |
Gross unrecognized tax benefits | 88,893 | 113,633 | 102,484 | $ 104,355
Unrecognized tax benefits | 88,893 | 113,633 | 102,484 | $ 104,355
Unrecognized tax benefits that would impact effective tax rate | 73,500 |  |  |
Accrued interest and penalties | 43,500 | 41,600 |  |
Decrease in unrecognized tax benefits | 2,200 |  |  |
Other items – net | 5,677 | (896) | $ (788) |
Affiliated Entity |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Undistributed earnings of foreign subsidiaries | 101,700 |  |  |
Amount of unrecognized deferred tax liability not recognized due to undistributed earnings of foreign subsidiaries | 25,000 |  |  |
Capital Loss Carryforward |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Change in deferred tax assets valuation allowance, amount | 26,000 |  |  |
Accounting Standards Update 2013-11 |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Gross unrecognized tax benefits | 81,900 | 91,900 |  |
Unrecognized tax benefits | 81,900 | 91,900 |  |
Accounting Standards Update 2013-11 | Cumulative Effect, Period of Adoption, Adjustment |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Gross unrecognized tax benefits | 7,000 | 21,700 |  |
Unrecognized tax benefits | 7,000 | 21,700 |  |
United States Federal Tax Authority |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Change in deferred tax assets valuation allowance, amount | 33,100 |  |  |
Foreign Country |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Loss carry forwards of foreign subsidiaries | 491,300 | 760,400 |  |
Foreign Country | Her Majesty's Revenue and Customs (HMRC) |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Tax Rate Change | 3,200 | $ 25,600 |  |
Expiring Between 2022 and 2031 | Foreign Country |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |
Loss carry forwards of foreign subsidiaries | $ 83,700 |  |  |

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