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Share-Based Compensation - Restricted Shares and Other (Details) $ / shares in Units, $ in Millions | 12 Months Ended
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Dec. 31, 2022 USD ($) installment $ / shares shares | Jan. 01, 2022 USD ($) $ / shares shares | Jan. 02, 2021 USD ($) shares
2006 Incentive Plan |  |  |
Additional disclosures |  |  |
Shares available for grant (in shares) | 238,061 |  |
1998 ESPP |  |  |
Additional disclosures |  |  |
Number of shares authorized (in shares) | 243,000 |  |
Purchase price as a percentage of fair market value (as a percent) | 85.00% |  |
Offering period under the plan (in years) | 1 year |  |
Shares issued (in shares) | 0 | 0 | 0
Shares available for grant (in shares) | 211,777 |  |
Options |  |  |
Additional disclosures |  |  |
Fair value of options vested | $ | $ 0.1 | $ 0.2 | $ 0.2
Unrecognized compensation cost, net of expected forfeitures | $ | $ 0.0 |  |
Restricted stock |  |  |
Additional disclosures |  |  |
Number of vesting installments | installment | 4 |  |
Unrecognized compensation cost, net of expected forfeitures | $ | $ 1.3 |  |
Weighted-average period over which cost is expected to be recognized | 2 years 10 months 24 days |  |
Forfeiture rate (as a percent) | 0.90% |  |
Restricted stock | 2006 Incentive Plan |  |  |
Restricted Stock and Stock Units, Number of Shares |  |  |
Balance at the beginning of the period (in shares) | 30,783 |  |
Granted (in shares) | 8,354 |  |
Vested (in shares) | (10,903) |  |
Forfeited (in shares) | (1,325) |  |
Balance at the end of the period (in shares) | 26,909 | 30,783 |
Restricted Stock and Stock Units, Weighted-Average Grant Date Fair Value |  |  |
Balance at the beginning of the period (in dollars per share) | $ / shares | $ 56.98 |  |
Granted (in dollars per share) | $ / shares | 96.53 |  |
Vested (in dollars per share) | $ / shares | 53.59 |  |
Forfeited (in dollars per share) | $ / shares | 39.73 |  |
Balance at the end of the period (in dollars per share) | $ / shares | $ 71.48 | $ 56.98 |
Time-Vesting RSUs |  |  |
Additional disclosures |  |  |
Unrecognized compensation cost, net of expected forfeitures | $ | $ 3.5 |  |
Weighted-average period over which cost is expected to be recognized | 2 years 8 months 12 days |  |
Forfeiture rate (as a percent) | 0.90% |  |
Time-Vesting RSUs | Minimum |  |  |
Additional disclosures |  |  |
Number of vesting installments | installment | 4 |  |
Time-Vesting RSUs | Maximum |  |  |
Additional disclosures |  |  |
Number of vesting installments | installment | 5 |  |
Time-Vesting RSUs | 2006 Incentive Plan |  |  |
Restricted Stock and Stock Units, Number of Shares |  |  |
Balance at the beginning of the period (in shares) | 82,381 |  |
Granted (in shares) | 20,373 |  |
Vested (in shares) | (28,698) |  |
Forfeited (in shares) | 0 |  |
Balance at the end of the period (in shares) | 74,056 | 82,381 |
Restricted Stock and Stock Units, Weighted-Average Grant Date Fair Value |  |  |
Balance at the beginning of the period (in dollars per share) | $ / shares | $ 51.48 |  |
Granted (in dollars per share) | $ / shares | 85.28 |  |
Vested (in dollars per share) | $ / shares | 49.98 |  |
Forfeited (in dollars per share) | $ / shares | 0 |  |
Balance at the end of the period (in dollars per share) | $ / shares | $ 61.36 | $ 51.48 |
PRSU |  |  |
Additional disclosures |  |  |
Vesting period (in years) | 2 years |  |
PRSU | Vesting in the first year following performance period |  |  |
Additional disclosures |  |  |
Vesting percentage |  | 50.00% |
PRSU | Vesting on the fourth anniversary of date of grant |  |  |
Additional disclosures |  |  |
Vesting percentage |  | 25.00% |
PRSU | Vesting on the fifth anniversary of date of grant |  |  |
Additional disclosures |  |  |
Vesting percentage |  | 25.00% |
PRSU | Minimum |  |  |
Additional disclosures |  |  |
PRSUs performance measure (as a percent) | 50.00% |  |
PRSU | Maximum |  |  |
Additional disclosures |  |  |
PRSUs performance measure (as a percent) | 150.00% |  |
PRSU | 2006 Incentive Plan |  |  |
Restricted Stock and Stock Units, Number of Shares |  |  |
Balance at the beginning of the period (in shares) | 93,381 |  |
Granted (in shares) | 28,191 |  |
Vested (in shares) | (26,526) |  |
Forfeited (in shares) | 0 |  |
Balance at the end of the period (in shares) | 95,046 | 93,381 |
Restricted Stock and Stock Units, Weighted-Average Grant Date Fair Value |  |  |
Balance at the beginning of the period (in dollars per share) | $ / shares | $ 56.55 |  |
Granted (in dollars per share) | $ / shares | 85.40 |  |
Vested (in dollars per share) | $ / shares | 50.64 |  |
Forfeited (in dollars per share) | $ / shares | 0 |  |
Balance at the end of the period (in dollars per share) | $ / shares | $ 66.76 | $ 56.55 |
Additional disclosures |  |  |
Achievement percentage (as a percent) |  | 125.00% |

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