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Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Detail) - USD ($)
$ in Millions
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Components of Deferred Tax Assets and Liabilities [Abstract]      
Inventories $ 34.0 $ 37.5 $ 41.4
Accruals not currently deductible 66.9 77.6 75.1
Tax credit carryforward 4.2 1.2 2.4
Employee benefits 16.7 6.4 32.4
Net operating losses 47.9 35.0 37.1
Depreciation and amortization (170.1) (213.2) (192.0)
Valuation allowance (23.5) (24.5) (26.7)
Equity-based compensation 14.7 13.1 14.3
Undistributed non-U.S. earnings (4.2) (4.4) (5.4)
Other   (1.9)  
Other 1.3   1.3
Net deferred income tax liabilities $ (12.1) $ (73.2) $ (20.1)