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Stockholders' Equity, Earnings Per Share and Share Repurchases - Narrative (Details) | 10 Months Ended | 12 Months Ended | 26 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | ---
Oct. 31, 2023 USD ($) $ / shares shares | Jan. 03, 2026 USD ($) vote $ / shares shares | Dec. 28, 2024 USD ($) $ / shares shares | Dec. 30, 2023 USD ($) $ / shares shares | Jan. 03, 2026 USD ($) vote $ / shares shares | Jul. 28, 2025 USD ($) | May 03, 2022 USD ($) | Aug. 23, 2021 USD ($)
Earnings Per Share [Line Items] |  |  |  |  |  |  |  |
Common stock, shares authorized (in shares) |  | 20,000,000 | 20,000,000 |  | 20,000,000 |  |  |
Common Stock, par value (in dollars per share) | $ / shares |  | $ 0.01 | $ 0.01 |  | $ 0.01 |  |  |
Number of votes per share | vote |  | 1 |  |  | 1 |  |  |
Preferred stock, shares authorized (in shares) |  | 30,000,000 | 30,000,000 |  | 30,000,000 |  |  |
Preferred stock, par value (in dollars per share) | $ / shares |  | $ 0.01 | $ 0.01 |  | $ 0.01 |  |  |
Antidilutive securities excluded from computation of earnings per share (in shares) |  | 78,809 | 118,938 | 82,042 |  |  |  |
Share repurchase authorization | $ | $ 100,000,000 |  |  |  |  | $ 50,000,000 | $ 100,000,000 | $ 25,000,000.0
Stock repurchased (in shares) | 404,796 | 503,556 | 428,630 | 101,516 | 1,033,702 |  |  |
Stock repurchased (in dollars per share) | $ / shares | $ 82.91 |  |  | $ 84.45 |  |  |  |
Shares acquired, average cost per share | $ / shares |  | $ 74.97 | $ 104.90 |  | $ 88.32 |  |  |
Remaining authorized repurchase amount | $ |  | $ 8,700,000 |  |  | $ 8,700,000 |  |  |
Common stock repurchases and retirements | $ |  | 38,078,000 | $ 45,345,000 | $ 42,467,000 |  |  |  |
Excise taxes | $ |  | $ 300,000 | $ 400,000 | $ 300,000 | $ 300,000 |  |  |
RSUs |  |  |  |  |  |  |  |
Earnings Per Share [Line Items] |  |  |  |  |  |  |  |
Antidilutive securities excluded from computation of earnings per share (in shares) |  | 121,057 | 376 | 107,498 |  |  |  |

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