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Shareholders' Deficit - Narrative (Details) - USD ($) shares in Millions | 12 Months Ended
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Dec. 30, 2023 | Dec. 31, 2022 | Jan. 01, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Approved share repurchase program | $ 600,000,000 |  |
Remaining authorized stock purchase plan | $ 348,000,000 |  |
Stock Award |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Antidilutive securities excluded from computation of earnings per share, amount (in shares) | 1.3 | 0.6 | 0.9
Antidilutive securities excluded from calculation of earnings per share | $ 100,000 |  |
Stock Options |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Proceeds from stock options exercised | 400,000 |  |
Tax benefit from exercise of stock options | 100,000 |  |
Stock-based compensation expense related to non-vested awards | $ 5,200,000 |  |
Weighted average period to recognize remaining expense over | 1 year 10 months 24 days |  |
Time- Based Stock Awards |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense related to non-vested awards | $ 8,700,000 |  |
Weighted average period to recognize remaining expense over | 1 year 8 months 12 days |  |
Performance- Based Stock Awards |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense related to non-vested awards | $ 7,800,000 |  |
Weighted average period to recognize remaining expense over | 2 years 1 month 6 days |  |

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