Receivables - Schedule of Long-Term Finance and Contract Receivables (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021
Accounts, Notes, Loans and Financing Receivable [Line Items]
Finance and contract receivables, before allowance for credit losses, non-current	$ 1,544.0	$ 1,570.1
Financing Receivables
Accounts, Notes, Loans and Financing Receivable [Line Items]
Finance and contract receivables, due in 13 - 24 months	428.1	444.6
Finance and contract receivables, due in 25 - 36 months	361.3	360.3
Finance and contract receivables, due in 37 - 48 months	246.2	250.9
Finance and contract receivables, due in 49 - 60 months	119.8	132.9
Finance and contract receivables, due thereafter	4.1	0.0
Finance and contract receivables, before allowance for credit losses, non-current	1,159.5	1,188.7
Contract Receivables
Accounts, Notes, Loans and Financing Receivable [Line Items]
Finance and contract receivables, due in 13 - 24 months	91.7	92.0
Finance and contract receivables, due in 25 - 36 months	81.3	78.9
Finance and contract receivables, due in 37 - 48 months	66.6	67.1
Finance and contract receivables, due in 49 - 60 months	52.2	51.3
Finance and contract receivables, due thereafter	92.7	92.1
Finance and contract receivables, before allowance for credit losses, non-current	$ 384.5	$ 381.4