Receivables - Aging of Finance and Contract Receivables (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021
Financing Receivables
Financing Receivable, Past Due [Line Items]
Total	$ 1,723.6	$ 1,742.8
Greater Than 90 Days Past Due and Accruing	16.0	18.2
Financing Receivables | 30-59 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	16.0	18.4
Financing Receivables | 60-90 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	10.5	12.2
Financing Receivables | Greater Than 90 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	18.0	21.1
Financing Receivables | Total Past Due
Financing Receivable, Past Due [Line Items]
Total	44.5	51.7
Financing Receivables | Total Not Past Due
Financing Receivable, Past Due [Line Items]
Total	1,679.1	1,691.1
Contract Receivables
Financing Receivable, Past Due [Line Items]
Total	497.0	496.2
Greater Than 90 Days Past Due and Accruing	0.1	0.2
Contract Receivables | 30-59 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	1.7	1.3
Contract Receivables | 60-90 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	0.9	0.6
Contract Receivables | Greater Than 90 Days Past Due
Financing Receivable, Past Due [Line Items]
Total	0.9	1.5
Contract Receivables | Total Past Due
Financing Receivable, Past Due [Line Items]
Total	3.5	3.4
Contract Receivables | Total Not Past Due
Financing Receivable, Past Due [Line Items]
Total	$ 493.5	$ 492.8