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Equity-Based Compensation - Additional Information (Details) - USD ($) $ in Thousands, shares in Millions | 1 Months Ended | 12 Months Ended
--- | --- | ---
Oct. 31, 2020 | Oct. 01, 2022 | Oct. 02, 2021 | Oct. 03, 2020
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Aggregate unamortized value of outstanding equity-based compensation awards |  | $ 29,100 |  |
Unamortized equity-based compensation costs, expected to be recognized, weighted average period |  | 2 years 6 months |  |
Dividend yield |  | 0.00% |  |
Selling, General and Administrative Expenses |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Equity-based compensation expense |  | $ 11,300 | $ 25,600 | $ 1,800
Common Stock | 2020 Omnibus Incentive Plan |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Shares available for grant |  | 8.1 |  |
Stock Options |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Aggregate unamortized value of outstanding equity-based compensation awards |  | $ 9,477 |  |
Unamortized equity-based compensation costs, expected to be recognized, weighted average period |  | 1 year 9 months 18 days |  |
Dividend yield |  |  | 0.00% |
Stock Options | 2020 Omnibus Incentive Plan |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Option expiration period | 10 years |  |  |
Service Incentive Awards |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Award vesting period |  | 4 years |  |
Service Incentive Awards | Tranche One |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Award vesting percentage |  | 25.00% |  |
Service Incentive Awards | Tranche Two |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Award vesting percentage |  | 25.00% |  |
Service Incentive Awards | Tranche Three |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Award vesting percentage |  | 25.00% |  |
Service Incentive Awards | Tranche Four |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Award vesting percentage |  | 25.00% |  |
Incentive Awards |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |
Equity-based compensation, acceleration cost |  |  | $ 10,700 |
Dividend yield |  |  |  | 0.00%

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