Share-Based Compensation - Restricted Shares and Other (Details) $ / shares in Units, $ in Millions	12 Months Ended
	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%