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Income Taxes - Significant Components of Deferred Tax Assets and Liabilities (Details) - USD ($)
$ in Thousands
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Deferred tax assets:      
Contractual adjustments and discounts $ 13,589 $ 14,519  
NOL, federal and state 30,175 19,628  
Federal tax credits 2,688 2,270  
Payroll related accruals 18,742 23,562  
Intangible assets 101,483 22,270  
Interest expense limitation 59,871 34,931  
Transaction costs 3,608 4,171  
Accrued expenses 3,642 4,494  
Interest rate derivatives   4,073  
Lease liabilities 15,589 15,740  
Stock compensation 8,481 5,119  
Section 174 costs 1,079    
Other 310 254  
Gross deferred tax assets 259,257 151,031  
Less: valuation allowance (203,370) (105,000) $ (94,041)
Net deferred tax assets 55,887 46,031  
Deferred tax (liabilities):      
Property and equipment (1,363) (3,281)  
Goodwill (20,854) (26,621)  
Interest rate derivatives (18,456)    
Lease right of use assets (14,254) (13,751)  
Other (4,804) (5,424)  
Gross deferred tax (liabilities) (59,731) (49,077)  
Net deferred tax assets (liabilities) $ (3,844) $ (3,046)