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Receivables - Rollforward of Allowances for Doubtful Accounts for Finance and Contract Receivables (Detail) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Financing Receivable, Allowance for Credit Loss [Line Items]      
Provision for credit losses $ 37.7 $ 32.1 $ 54.6
Financing Receivables      
Financing Receivable, Allowance for Credit Loss [Line Items]      
Beginning of year 67.3 76.3  
Provision for credit losses 37.7 32.1  
Charge-offs (52.7) (50.9)  
Recoveries 8.9 9.8  
Currency translation (0.3) 0.0  
End of year 60.9 67.3 76.3
Contract Receivables      
Financing Receivable, Allowance for Credit Loss [Line Items]      
Beginning of year 8.4 9.0  
Provision for credit losses 0.5 0.8  
Charge-offs (2.5) (1.8)  
Recoveries 0.3 0.4  
Currency translation (0.1) 0.0  
End of year $ 6.6 $ 8.4 $ 9.0