Income Taxes - Summary of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands  | 
Sep. 30, 2023  | 
Oct. 01, 2022  | 
|---|---|---|
| Deferred tax assets: | ||
| Compensation accruals | $ 1,878 | $ 4,067 | 
| Inventories | 1,237 | 3,496 | 
| Lease liabilities | 64,619 | 58,710 | 
| Equity-based compensation | 2,503 | 2,151 | 
| Reserves and other accruals | 2,696 | 1,059 | 
| Interest limitation | 7,615 | 0 | 
| Capitalized research expenditures | 2,017 | 0 | 
| Total deferred tax assets | 82,565 | 69,483 | 
| Deferred tax liabilities: | ||
| Property, plant, and equipment | (4,387) | (4,066) | 
| Intangibles | (6,109) | (4,302) | 
| Lease assets | (61,835) | (57,798) | 
| Deferred financing cost | (253) | (310) | 
| Other | (2,383) | (1,739) | 
| Total deferred tax liabilities | (74,967) | (68,215) | 
| Deferred tax assets (liabilities), net | $ 7,598 | $ 1,268 | 
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- Definition Deferred tax assets capitalized research expenditures. No definition available. 
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- Definition Deferred tax assets interest limitation. No definition available. 
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- Definition Deferred tax assets lease liabilities. No definition available. 
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- Definition Deferred tax liabilities leased assets. No definition available. 
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- Definition Amount of deferred tax liability attributable to taxable temporary differences. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- References No definition available. 
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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from inventory. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount, after allocation of valuation allowances and deferred tax liability, of deferred tax asset attributable to deductible differences and carryforwards, without jurisdictional netting. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from compensation and benefits costs. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from share-based compensation. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary differences from reserves and accruals, classified as other. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- References No definition available. 
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- Definition Amount of deferred tax liability attributable to taxable temporary differences from financing arrangements. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount of deferred tax liability attributable to taxable temporary differences from intangible assets other than goodwill. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount of deferred tax liability attributable to taxable temporary differences classified as other. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Amount of deferred tax liability attributable to taxable temporary differences from property, plant, and equipment. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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