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Equity-Based Compensation - Summary of Stock Options Activity Additional Information (Details)
$ in Thousands
12 Months Ended
Oct. 02, 2021
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unamortized value of unvested stock options $ 34,800
Weighted average period (years) that expense is expected to be recognized 3 years
Stock Options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Aggregate intrinsic value of options outstanding $ 14,698
Unamortized value of unvested stock options $ 16,022
Weighted average period (years) that expense is expected to be recognized 2 years 6 months
Weighted average remaining contractual life (years) for options outstanding 9 years 8 months 12 days