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Receivables - Rollforward of Allowances for Credit Losses for Finance and Contract Receivables (Detail) - USD ($)
$ in Millions
 12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Receivables [Abstract]      
Finance receivables, Allowance for credit losses, Beginning of year $ 32.7 $ 27.8  
Finance receivables, Provision for bad debt expense 31.6 27.4 $ 20.4
Finance receivables, Charge-offs (31.7) (27.5)  
Finance receivables, Recoveries 5.9 5.1  
Finance receivables, Currency translation (0.3) (0.1)  
Finance receivables, Allowance for credit losses, End of year 38.2 32.7 27.8
Contract receivables, Allowance for credit losses, Beginning of year 3.5 3.3  
Contract receivables, Provision for bad debt expense 2.5 1.9  
Contract receivables, Charge-offs (1.9) (2.0)  
Contract receivables, Recoveries 0.4 0.4  
Contract receivables, Currency translation (0.1) (0.1)  
Contract receivables, Allowance for credit losses, End of year $ 4.4 $ 3.5 $ 3.3