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Receivables - Components of Finance and Contract Receivables Beyond One Year (Detail) - USD ($) $ in Millions | Jan. 01, 2022 | Jan. 02, 2021
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Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | $ 1,544.0 | $ 1,570.1
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (51.8) | (59.1)
Total long-term finance and contract receivables – net | 1,492.2 | 1,511.0
Financing Receivables |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 1,159.5 | 1,188.7
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (45.5) | (52.4)
Total long-term finance and contract receivables – net | 1,114.0 | 1,136.3
Financing Receivables | Installment Receivables |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 1,155.3 | 1,173.1
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (45.4) | (52.1)
Financing Receivables | Finance and Contract Leases |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 4.2 | 15.6
Unearned finance charges, non-current | 0.5 | 2.5
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (0.1) | (0.3)
Contract Receivables |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 384.5 | 381.4
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (6.3) | (6.7)
Total long-term finance and contract receivables – net | 378.2 | 374.7
Contract Receivables | Installment Receivables |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 197.1 | 199.7
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | (3.2) | (3.1)
Contract Receivables | Finance and Contract Leases |  |
Financing Receivable, Allowance for Credit Loss [Line Items] |  |
Finance and contract receivables, before allowance for credit losses, non-current | 187.4 | 181.7
Unearned finance charges, non-current | 30.3 | 30.2
Allowances for credit losses: |  |
Allowance for finance and contract receivables, non-current | $ (3.1) | $ (3.6)

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