Income Taxes - Unrecognized Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Income Taxes
Balance, beginning of year	$ 67,781	$ 74,612	$ 66,677
Increase (decrease) related to prior year tax positions	4,456	6,063	1,327
Increase related to current year tax positions	7,154	7,349	9,907
Settlements	(7,596)
Decrease related to lapse of time and expiration of statutes of limitations	(9,331)	(20,243)	(3,299)
Balance, end of year	53,552	67,781	$ 74,612
Unrecognized tax benefits, reserve for penalties and interest	11,000	17,000
Unrecognized tax benefits, penalties and interest accrued during the year	3,000	$ 23,000
Unrecognized tax benefits that would impact effective tax rate	44,000
Resolution of Audits and Expiration of Statutes
Income Taxes
Decrease in unrecognized tax benefits is reasonably possible	9,000
Interest and Penalties
Income Taxes
Decrease in unrecognized tax benefits is reasonably possible	$ 4,000

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

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Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return.

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The total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate.

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