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Debt - Additional Disclosures (Details) $ in Thousands	3 Months Ended										12 Months Ended
	Dec. 28, 2024	Sep. 28, 2024	Jun. 29, 2024	Mar. 30, 2024	Dec. 30, 2023	Sep. 30, 2023	Jul. 01, 2023	Apr. 01, 2023	Dec. 31, 2022 USD ($)	Oct. 01, 2022	Dec. 31, 2022 USD ($)	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($)
Debt Instrument [Line Items]
Payments of capitalized debt issuance costs within Continuing Operations											$ 3,159	$ 8,346	$ 15,010
Amortization of debt issuance costs in Continuing Operations											7,300	12,305	11,349
Amortization of debt issuance costs											7,300	12,305	11,565
Long-term debt issuance cost in other noncurrent assets									$ 6,831		6,831
Long-term debt issuance costs in long-term debt									$ 13,198		$ 13,198	17,543
Senior Secured Credit Facility
Debt Instrument [Line Items]
Maximum Leverage Ratio									5.25
Interest Coverage Ratio									2.60	3.00
Subsequent Event | Senior Secured Credit Facility
Debt Instrument [Line Items]
Maximum Leverage Ratio	4.50	4.50	4.50	5.00	5.25	6.75	7.25	6.75
Interest Coverage Ratio	2.75	2.75	2.75	2.50	2.00	2.00	2.00	2.60
Minimum
Debt Instrument [Line Items]
Debt issuance costs amortization period, in years											1 year
Maximum
Debt Instrument [Line Items]
Debt issuance costs amortization period, in years											10 years
Debt Payable to Banks
Debt Instrument [Line Items]
Cash paid for interest related to debt											$ 150,452	$ 161,202	$ 157,094

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