Receivables - Components of Finance and Contract Receivables Beyond One Year (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	$ 1,544.0	$ 1,570.1
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(51.8)	(59.1)
Total long-term finance and contract receivables – net	1,492.2	1,511.0
Financing Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	1,159.5	1,188.7
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(45.5)	(52.4)
Total long-term finance and contract receivables – net	1,114.0	1,136.3
Financing Receivables | Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	1,155.3	1,173.1
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(45.4)	(52.1)
Financing Receivables | Finance and Contract Leases
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	4.2	15.6
Unearned finance charges, non-current	0.5	2.5
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(0.1)	(0.3)
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	384.5	381.4
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(6.3)	(6.7)
Total long-term finance and contract receivables – net	378.2	374.7
Contract Receivables | Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	197.1	199.7
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	(3.2)	(3.1)
Contract Receivables | Finance and Contract Leases
Financing Receivable, Allowance for Credit Loss [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	187.4	181.7
Unearned finance charges, non-current	30.3	30.2
Allowances for credit losses:
Allowance for finance and contract receivables, non-current	$ (3.1)	$ (3.6)