Receivables - Components of Finance and Contract Receivables Beyond One Year (Details) - USD ($) $ in Millions	Jul. 02, 2022	Jan. 01, 2022
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	$ 1,549.3	$ 1,544.0
Allowance for credit loss, noncurrent	(46.9)	(51.8)
Total long-term finance and contract receivables – net	1,502.4	1,492.2
Finance Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,168.5	1,159.5
Allowance for credit loss, noncurrent	(41.5)	(45.5)
Total long-term finance and contract receivables – net	1,127.0	1,114.0
Finance Receivables | Finance installment receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,166.1	1,155.3
Allowance for credit loss, noncurrent	(41.5)	(45.4)
Finance Receivables | Finance lease receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	0.3	0.5
Long-term finance and contract receivables	2.4	4.2
Allowance for credit loss, noncurrent	0.0	(0.1)
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	380.8	384.5
Allowance for credit loss, noncurrent	(5.4)	(6.3)
Total long-term finance and contract receivables – net	375.4	378.2
Contract Receivables | Finance installment receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	196.7	197.1
Allowance for credit loss, noncurrent	(3.2)	(3.2)
Contract Receivables | Finance lease receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	29.6	30.3
Long-term finance and contract receivables	184.1	187.4
Allowance for credit loss, noncurrent	$ (2.2)	$ (3.1)