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Long-Term Debt - Narrative (Details) - USD ($) $ in Thousands		12 Months Ended
	Oct. 14, 2022	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Debt Instrument [Line Items]
Payments of debt issuance costs		$ 0	$ 1,032	$ 36
Repayments of term loan borrowing		80,927	13,191	60,485
Unamortized debt issuance costs, recorded as reduction of long-term debt, net		4,445	6,118
Long-term debt, gross		421,658	526,332
Term Loan and Senior Notes
Debt Instrument [Line Items]
Unamortized debt issuance costs, recorded as reduction of long-term debt, net		4,400	6,100
Amortization of debt issuance costs		1,700	1,200	1,600
Syndicated Facility Agreement
Debt Instrument [Line Items]
Revolving loan facility, maximum borrowing capacity		300,000
Revolving loan facility, remaining borrowing capacity		298,400
Payments of debt issuance costs	$ 1,000
Loss on extinguishment of debt	100
Threshold of other indebtedness triggering default		$ 20,000
Maximum percentage of first tier subsidiary stock pledged as collateral (percentage)		65.00%
Letters of credit outstanding		$ 1,600	1,600
Unamortized debt issuance costs, revolving loan facility, net		1,400	1,800
Long-term debt, gross		$ 121,658	226,332
Syndicated Facility Agreement \| Minimum
Debt Instrument [Line Items]
Revolving loan facility, interest rate (percentage)		0.25%
Revolving loan facility, commitment fee percentage of unused capacity (percentage)		0.20%
Syndicated Facility Agreement \| Maximum
Debt Instrument [Line Items]
Revolving loan facility, interest rate (percentage)		2.00%
Revolving loan facility, commitment fee percentage of unused capacity (percentage)		0.40%
Syndicated Facility Agreement \| Secured Overnight Financing Rate (SOFR) Rate or Alternate Currency Rate \| Minimum
Debt Instrument [Line Items]
Revolving loan facility, basis spread on variable rate (percentage)		1.25%
Syndicated Facility Agreement \| Secured Overnight Financing Rate (SOFR) Rate or Alternate Currency Rate \| Maximum
Debt Instrument [Line Items]
Revolving loan facility, basis spread on variable rate (percentage)		3.00%
Syndicated Facility Agreement \| For Each Fiscal Quarter Thereafter
Debt Instrument [Line Items]
Maximum consolidated net leverage ratio		3.00
Minimum consolidated interest coverage ratio		2.25
Syndicated Facility Agreement \| Term Loan
Debt Instrument [Line Items]
Payments of debt issuance costs	400
Unamortized debt issuance costs, recorded as reduction of long-term debt, net		$ 1,000	1,900
Long-term debt, gross		121,658	202,082
Syndicated Facility Agreement \| Revolving Loan Facility
Debt Instrument [Line Items]
Payments of debt issuance costs	$ 700
Amortization of debt issuance costs		400	400	$ 400
Long-term debt, gross		$ 0	$ 24,250
Syndicated Facility Agreement \| Commercial Letter of Credit
Debt Instrument [Line Items]
Letter of credit fee (percentage)		1.00%
Syndicated Facility Agreement \| Standby Letter of Credit \| Minimum
Debt Instrument [Line Items]
Letter of credit fee (percentage)		1.25%
Syndicated Facility Agreement \| Standby Letter of Credit \| Maximum
Debt Instrument [Line Items]
Letter of credit fee (percentage)		3.00%
Senior Notes
Debt Instrument [Line Items]
Stated interest rate (percentage)		5.50%	5.50%
Amount of principal declared due upon event of default (percentage)		25.00%
Unamortized debt issuance costs, recorded as reduction of long-term debt, net		$ 3,400	$ 4,200
Long-term debt, gross		$ 300,000	$ 300,000
Senior Notes \| Before December 1, 2023 Redemption Period
Debt Instrument [Line Items]
Debt instrument, redemption price (percentage)		100.00%
Senior Notes \| Proceeds of Certain Equity Offerings \| Before December 1, 2023 Redemption Period
Debt Instrument [Line Items]
Debt instrument, redemption price (percentage)		105.50%
Debt instrument, redemption price, amount of principal redeemed (percentage)		35.00%
Senior Notes \| Changes of Control
Debt Instrument [Line Items]
Debt instrument, redemption price (percentage)		101.00%