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Pension Plans - Narrative (Detail) - USD ($) $ in Millions | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Defined Benefit Plan Disclosure [Line Items] |  |  |
Normal retirement age | 65 years |  |
Accumulated benefit obligation | $ 1,580.4 | $ 1,621.5 |
Expense recognized related to 401(k)plan | $ 11.3 | $ 10.3 | $ 9.8
Minimum |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Time horizon for asset under risk and correlation assumption (in years) | 10 years |  |
Maximum |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Time horizon for asset under risk and correlation assumption (in years) | 20 years |  |
United States |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Weighted-average discount rate | 2.90% |  |
Increase in pension expense | $ 4.0 |  |
Increase in projected benefit obligation | $ 77.0 |  |
Percentage of projected benefit obligations | 82.00% |  |
Foreign Pension Plans |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Weighted-average discount rate | 2.00% |  |
Increase in pension expense | $ 2.4 |  |
Increase in projected benefit obligation | $ 27.8 |  |
Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Expected long-term rate of return on plan assets | 6.50% | 7.00% | 7.10%
Pension Plan | United States |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Expected future employer contributions | $ 9.5 |  |
Expected long-term rate of return on plan assets | 6.50% |  |
Pension plans' assets as percentage of worldwide pension assets | 86.00% |  |
Pension Plan | Foreign Pension Plans |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Expected future employer contributions | $ 9.4 |  |
Pension Plan | Foreign Pension Plans | Minimum |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Expected long-term rate of return on plan assets | 1.30% |  |
Pension Plan | Foreign Pension Plans | Maximum |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Expected long-term rate of return on plan assets | 5.60% |  |

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