Income Taxes - Summary of Provision for Income Taxes to Amount Computed at Federal Statutory Rate (Details) - USD ($) $ in Thousands	12 Months Ended
Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Income Tax Disclosure [Abstract]
Federal income tax at statutory rate	$ 34,257	$ 12,851	$ 3,198
Equity-based compensation	(2,360)	375	447
Section 162(m) limitation	2,826
Permanent differences	564	89	100
Change in valuation allowance	(5,425)	(11,373)	11,060
State taxes, net of federal benefit	7,072	2,503	54
Other	(439)	(1,818)	(4)
Total income tax provision	$ 36,495	$ 2,627	$ 14,855

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Income tax reconciliation deduction limit.

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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The amount of income tax expense or benefit for the period computed by applying the domestic federal statutory tax rates to pretax income from continuing operations.

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Amount of reported income tax expense (benefit) in excess of (less than) expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operation, attributable to nondeductible expense for award under share-based payment arrangement. Includes, but is not limited to, expense determined to be nondeductible upon grant or after for award under share-based payment arrangement.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax exempt income, equity in earnings (loss) of an unconsolidated subsidiary, minority noncontrolling interest income (loss), tax holiday, disposition of a business, disposition of an asset, repatriation of foreign earnings, repatriation of foreign earnings jobs creation act of 2004, increase (decrease) in enacted tax rate, prior year income taxes, increase (decrease) in deferred tax asset valuation allowance, and other adjustments.

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