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Provision for Income Taxes - Schedule of Income Taxes Paid, Net of Refunds Received (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 02, 2026
Jan. 03, 2025
Dec. 29, 2023
Income Tax Contingency [Line Items]      
Federal $ 135,555    
Total net cash paid for income taxes 155,296 $ 170,482 $ 185,658
Kentucky      
Income Tax Contingency [Line Items]      
State 10,633    
All other states      
Income Tax Contingency [Line Items]      
State $ 9,108