Receivables - Components of Finance and Contract Receivables Beyond One Year (Details) - USD ($) $ in Millions	Oct. 02, 2021	Jan. 02, 2021
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	$ 1,543.9	$ 1,570.1
Allowance for credit loss, noncurrent	(53.4)	(59.1)
Total long-term finance and contract receivables – net	1,490.5	1,511.0
Finance Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,157.4	1,188.7
Allowance for credit loss, noncurrent	(47.0)	(52.4)
Total long-term finance and contract receivables – net	1,110.4	1,136.3
Finance Receivables \| Finance and Contract Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	1,151.6	1,173.1
Allowance for credit loss, noncurrent	(46.9)	(52.1)
Finance Receivables \| Finance and Contract Lease Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	0.8	2.5
Long-term finance and contract receivables	5.8	15.6
Allowance for credit loss, noncurrent	(0.1)	(0.3)
Contract Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	386.5	381.4
Allowance for credit loss, noncurrent	(6.4)	(6.7)
Total long-term finance and contract receivables – net	380.1	374.7
Contract Receivables \| Finance and Contract Installment Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Long-term finance and contract receivables	199.5	199.7
Allowance for credit loss, noncurrent	(3.0)	(3.1)
Contract Receivables \| Finance and Contract Lease Receivables
Financing Receivable, Allowance for Credit Loss [Line Items]
Unearned finance charges, noncurrent	30.5	30.2
Long-term finance and contract receivables	187.0	181.7
Allowance for credit loss, noncurrent	$ (3.4)	$ (3.6)

Financing Receivable, Unamortized Loan Fee (Cost), Noncurrent

No definition available.

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- Definition

Amount of allowance for credit loss on financing receivable, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 4
-URI http://asc.fasb.org/extlink&oid=123577603&loc=d3e5074-111524

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(4))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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- Definition

Amount, before allowance for credit loss, of financing receivable, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 45
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=124259787&loc=d3e4428-111522

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- Definition

Amount, after allowance for credit loss, of financing receivable, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(3))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

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