Income Taxes - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
Sep. 27, 2024	Sep. 29, 2023
Income Tax Contingency [Line Items]
Valuation allowance	$ 217,397	$ 199,892
Net operating losses	259,335	265,377
Undistributed earnings of foreign subsidiaries	194,400
Amount of unrecognized deferred tax liability not recognized due to undistributed earnings of foreign subsidiaries	15,500
Unrecognized tax benefits that would impact effective tax rate	27,100	28,400
Accrued interest and penalties	22,600	37,700
Decrease in unrecognized tax benefits	4,900
Foreign Country
Income Tax Contingency [Line Items]
Loss carry forwards of foreign subsidiaries	915,600	$ 918,700
Tax credit carryforward, amount	42,400
Tax credit carryforward, valuation allowance	25,100
Foreign Country \| Expiring In 2024
Income Tax Contingency [Line Items]
Tax credit carryforward, amount	9,500
Operating Loss Carryforwards, Foreign Settlement
Income Tax Contingency [Line Items]
Increase (decrease) in valuation allowance	10,300
Change in Realizability of Foreign Tax Credits
Income Tax Contingency [Line Items]
Increase (decrease) in valuation allowance	51,200
Expiring Foreign Tax Credits
Income Tax Contingency [Line Items]
Increase (decrease) in valuation allowance	(20,300)
Operating Loss Carryforwards, Other Foreign Assessable Income
Income Tax Contingency [Line Items]
Increase (decrease) in valuation allowance	26,000
Various Other Items
Income Tax Contingency [Line Items]
Increase (decrease) in valuation allowance	$ 2,200

Amount of decrease reasonably possible in the next twelve months for the unrecognized tax benefit.

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