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Income Taxes - Additional Information (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Operating Loss Carryforwards [Line Items]    
Deferred tax assets, Valuation Allowance $ 24.6 $ 22.3
Tax credit carryforwards 32.5  
Portion of the unrecognized tax benefits if recognized, reduction of annual effective tax rate 10.1 5.0
Interest accrued related to unrecognized tax benefits 0.6 0.6
Deferred Tax Liabilities, Tax Deferred Income 1.4 $ 2.2
Undistributed Earnings of Foreign Subsidiaries 199.1  
Foreign country [Member]    
Operating Loss Carryforwards [Line Items]    
Foreign net operating loss carryforwards 30.4  
Tax credit carryforwards 2.9  
State and Local Jurisdiction [Member]    
Operating Loss Carryforwards [Line Items]    
Foreign net operating loss carryforwards 234.4  
Domestic Tax Authority [Member]    
Operating Loss Carryforwards [Line Items]    
Foreign net operating loss carryforwards 15.7  
Deferred Tax Asset, State [Member]    
Operating Loss Carryforwards [Line Items]    
Change in the total valuation allowance 1.0  
Net Operating Loss Carryforwad, State and Local [Member]    
Operating Loss Carryforwards [Line Items]    
Change in the total valuation allowance 0.5  
Net Operating Losses and Tax Credits, Foreign [Member]    
Operating Loss Carryforwards [Line Items]    
Change in the total valuation allowance $ 0.8