Receivables - Rollforward of Allowances for Doubtful Accounts for Finance and Contract Receivables (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021
Financing Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning of year	$ 76.3	$ 61.9
Impact of adopting ASU No. 2016-13	0.0	5.2
Provision for credit losses	32.1	54.6
Charge-offs	(50.9)	(53.8)
Recoveries	9.8	8.2
Currency translation	0.0	0.2
End of year	67.3	76.3
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning of year	9.0	5.6
Impact of adopting ASU No. 2016-13	0.0	2.9
Provision for credit losses	0.8	3.8
Charge-offs	(1.8)	(3.8)
Recoveries	0.4	0.4
Currency translation	0.0	0.1
End of year	$ 8.4	$ 9.0