The lowest interest rate expressed in percentage under the debt agreement.

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The minimum consolidated interest coverage ratio covenant.

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Percentage, in principal amount outstanding, of trustees or holders that would be declare principal, premium, if any, and accrued but unpaid interest on notes to be due and payable upon events of default.

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The threshold of other indebtedness triggering default under the debt instrument.

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Amount of amortization expense attributable to debt discount (premium) and debt issuance costs.

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Percentage points added to the reference rate to compute the variable rate on the debt instrument.

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Contractual interest rate for funds borrowed, under the debt agreement.

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Percentage price of original principal amount of debt at which debt can be redeemed by the issuer.

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Percentage of principal amount of debt redeemed.

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Amount, after accumulated amortization, of debt issuance costs related to line of credit arrangements. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

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Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

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Difference between the fair value of payments made and the carrying amount of debt which is extinguished prior to maturity.

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Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

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Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

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The fee, expressed as a percentage of the line of credit facility, for available but unused credit capacity under the credit facility.

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The cash outflow paid to third parties in connection with debt origination, which will be amortized over the remaining maturity period of the associated long-term debt.

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The cash inflow from the issuance of long-term debt that is not secured by collateral. Excludes proceeds from tax exempt unsecured debt.

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Amount of cash outflow for payment of an obligation from a lender, including but not limited to, letter of credit, standby letter of credit and revolving credit arrangements.

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The cash outflow to repay long-term debt that is wholly or partially secured by collateral. Excludes repayments of tax exempt secured debt.

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Long-Term Debt - Narrative (Details)				12 Months Ended
Long-Term Debt - Narrative (Details)	Oct. 14, 2022 USD ($)	Nov. 17, 2020 USD ($)	Jul. 15, 2020 USD ($)	Jan. 01, 2023 USD ($)	Jan. 02, 2022 USD ($)	Jan. 03, 2021 USD ($)
Debt Instrument [Line Items]
Payments of debt issuance costs				$ 1,032,000	$ 36,000	$ 7,896,000
Proceeds from issuance of Senior Notes due 2028				0	0	300,000,000
Repayments of term loan borrowing				13,191,000	60,485,000	304,425,000
Repayments of revolving loan borrowing				189,281,000	71,500,000	131,024,000
Unamortized debt issuance costs, recorded as reduction of long-term debt, net				6,118,000	7,073,000
Other Line of Credit
Debt Instrument [Line Items]
Revolving loan facility, maximum borrowing capacity				0
Syndicated Facility Agreement
Debt Instrument [Line Items]
Revolving loan facility, maximum borrowing capacity				300,000,000.0
Revolving loan facility, remaining borrowing capacity				274,100,000
Interest rate floor, minimum (percentage)			0.00%
Interest rate floor, maximum (percentage)			0.75%
Payments of debt issuance costs	$ 1,000,000	$ 900,000	$ 1,500,000
Interest rate floor (percentage)		0.00%
Loss on extinguishment of debt	100,000	$ 3,600,000
Threshold of other indebtedness triggering default				$ 20,000,000
Maximum percentage of first tier subsidiary stock pledged as collateral (percentage)				65.00%
Letters of credit outstanding				$ 1,600,000	1,600,000
Unamortized debt issuance costs, revolving loan facility, net				$ 1,800,000	1,600,000
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	400,000	100,000	1,000,000
Repayments of term loan borrowing		269,700,000
Syndicated Facility Agreement \| Revolving Loan Facility
Debt Instrument [Line Items]
Payments of debt issuance costs	$ 700,000	800,000	$ 500,000
Repayments of revolving loan borrowing		21,000,000
Amortization of debt issuance costs				$ 400,000	400,000	400,000
Term Loan and Senior Notes
Debt Instrument [Line Items]
Unamortized debt issuance costs, recorded as reduction of long-term debt, net				6,100,000	7,100,000
Amortization of debt issuance costs				$ 1,200,000	$ 1,600,000	$ 1,700,000
Senior Notes
Debt Instrument [Line Items]
Payments of debt issuance costs		5,700,000
Proceeds from issuance of Senior Notes due 2028		$ 300,000,000
Stated interest rate (percentage)		5.50%
Amount of principal declared due upon event of default (percentage)				25.00%
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%