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Retirement Benefits - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Retirement Benefits [Abstract] |  |  |
Liability for nonqualified plans | $ 196.6 | $ 237.2 |
Earnings (loss) included in SG&A expenses | (36.3) | 27.0 | $ 23.0
Life insurance cash surrender value | 194.3 | 232.9 |
Proceeds from company-owned life insurance | 1.5 | 12.2 | 2.3
Tax-free earnings (loss) included in SG&A expenses | (36.0) | 26.0 | 23.1
Net expense for retirement benefits | 9.4 | 10.0 | 3.2
Benefit obligation | 10.4 | 16.0 |
Fair value of plan assets | 7.5 | 10.9 |
Unfunded liability | (2.9) | (5.1) |
Pension expense | $ 0.4 | $ 0.5 | $ 0.6

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