Long-Term Debt (Details) - USD ($) $ in Thousands	Apr. 04, 2026	Jan. 03, 2026	Oct. 23, 2025	Aug. 21, 2020
Debt Disclosure [Line Items]
Senior secured revolving credit line	$ 411,000	$ 698,500
Term loan facility	799,082	805,097
Delayed draw term loan facility	633,103	637,135
Foreign loans	30,835	32,270
Total debt	1,874,020	2,173,002
Less: Current maturities of long-term debt	44,154	44,420
Long-term debt	$ 1,829,866	$ 2,128,582
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	777.46%
Foreign Debt Issuance			$ 20,000
Convertible Debt
Debt Instrument [Line Items]
Debt Instrument, Face Amount				$ 747,500
Debt Instrument, Interest Rate, Stated Percentage				1.00%