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Retirement Benefits - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Retirement Benefits [Abstract] |  |  |
Liability for nonqualified plans | $ 237.2 | $ 216.8 |
Earnings (loss) included in SG&A expenses | 27.0 | 23.0 | $ 32.5
Life insurance cash surrender value | 232.9 | 220.3 |
Proceeds from company-owned life insurance | 12.2 | 2.3 | 3.0
Tax-free earnings (loss) included in SG&A expenses | 26.0 | 23.1 | 32.2
Net expense for retirement benefits | 10.0 | 3.2 | 9.1
Benefit obligation | 16.0 | 17.6 |
Fair value of plan assets | 10.9 | 11.3 |
Unfunded liability | (5.1) | (6.3) |
Pension expense | $ 0.5 | $ 0.6 | $ 0.3

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- Definition Amount of actuarial present value of benefits attributed to service rendered by employee for defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 + Details
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