Receivables - Components of Current Finance and Contract Receivables (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	$ 676.6	$ 668.9
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(23.9)	(26.2)
Total current finance and contract receivables – net	652.7	642.7
Financing Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	564.1	554.1
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(21.8)	(23.9)
Total current finance and contract receivables – net	542.3	530.2
Financing Receivables | Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	557.0	533.9
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(21.7)	(23.6)
Financing Receivables | Finance and Contract Leases
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	7.1	20.2
Unearned finance charges, current	1.3	4.4
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(0.1)	(0.3)
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	112.5	114.8
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(2.1)	(2.3)
Total current finance and contract receivables – net	110.4	112.5
Contract Receivables | Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	55.2	59.1
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	(0.9)	(1.4)
Contract Receivables | Finance and Contract Leases
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and Contract receivable, before allowance for credit losses, current	57.3	55.7
Unearned finance charges, current	18.7	18.2
Allowances for credit losses:
Allowances for doubtful accounts, finance and contract receivables	$ (1.2)	$ (0.9)