Receivables - Rollforward of Allowances for Doubtful Accounts for Finance and Contract Receivables (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning of year	$ 67.5
End of year		$ 67.5
Financing Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning of year	61.9	61.4
Impact of adopting ASU No. 2016-13	5.2	0.0
Provision for credit losses	54.6	49.9
Charge-offs	(53.8)	(57.1)
Recoveries	8.2	7.7
Currency translation	0.2	0.0
End of year	76.3	61.9
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Beginning of year	5.6	4.3
Impact of adopting ASU No. 2016-13	2.9	0.0
Provision for credit losses	3.8	4.7
Charge-offs	(3.8)	(3.9)
Recoveries	0.4	0.5
Currency translation	0.1	0.0
End of year	$ 9.0	$ 5.6