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Pension Plans - Summary of Fair Value by Asset Category and Within Fair Value Hierarchy (Detail) - USD ($) $ in Millions | Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
--- | --- | --- | ---
Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 1,241.7 | $ 1,710.9 | $ 1,632.4
United States |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 1,074.9 | $ 1,464.7 |
Target allocation | 100.00% |  |
Actual weighted-average asset allocation | 100.00% | 100.00% |
United States | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 1,074.9 | $ 1,464.7 |
United States | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 14.3 | $ 23.7 |
United States | Equity securities |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 49.00% |  |
Actual weighted-average asset allocation | 45.00% | 52.00% |
United States | Domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 67.1 | $ 109.4 |
United States | Foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 39.2 | 59.1 |
United States | Commingled funds – domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 189.1 | 311.7 |
United States | Commingled funds – foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 180.6 | 261.4 |
United States | Private equity partnerships | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 11.0 | 14.5 |
United States | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 164.7 | 180.7 |
United States | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 319.7 | 414.3 |
United States | Real estate and other real assets | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 2.5 | $ 2.7 |
United States | Debt securities and cash and cash equivalents |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 46.00% |  |
Actual weighted-average asset allocation | 47.00% | 42.00% |
United States | Hedge funds |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 5.00% |  |
Actual weighted-average asset allocation | 8.00% | 6.00% |
United States | Hedge funds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 86.7 | $ 87.2 |
Foreign Pension Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 166.8 | $ 246.2 |
Target allocation | 100.00% |  |
Actual weighted-average asset allocation | 100.00% | 100.00% |
Foreign Pension Plans | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 0.5 | $ 1.8 |
Foreign Pension Plans | Equity securities | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 40.00% |  |
Actual weighted-average asset allocation | 40.00% | 43.00% |
Foreign Pension Plans | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 11.6 | $ 13.9 |
Foreign Pension Plans | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 23.1 | $ 28.1 |
Foreign Pension Plans | Debt securities and cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 49.00% |  |
Actual weighted-average asset allocation | 49.00% | 45.00% |
Foreign Pension Plans | Insurance contracts and hedge funds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Target allocation | 11.00% |  |
Actual weighted-average asset allocation | 11.00% | 12.00% |
Foreign Pension Plans | Insurance contracts | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 18.2 | $ 29.9 |
Foreign Pension Plans | Commingled funds – multi-strategy | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 113.4 | 172.5 |
Quoted Prices for Identical Assets (Level 1) | United States | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 279.3 | 372.2 |
Quoted Prices for Identical Assets (Level 1) | United States | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 14.3 | 23.7 |
Quoted Prices for Identical Assets (Level 1) | United States | Domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 67.1 | 109.4 |
Quoted Prices for Identical Assets (Level 1) | United States | Foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 39.2 | 59.1 |
Quoted Prices for Identical Assets (Level 1) | United States | Commingled funds – domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Commingled funds – foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Private equity partnerships | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 158.7 | 180.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Real estate and other real assets | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | United States | Hedge funds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 12.1 | 15.7 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.5 | 1.8 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 11.6 | 13.9 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Insurance contracts | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Quoted Prices for Identical Assets (Level 1) | Foreign Pension Plans | Commingled funds – multi-strategy | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 325.7 | 415.0 |
Significant Other Observable Inputs (Level 2) | United States | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Commingled funds – domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Commingled funds – foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Private equity partnerships | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 6.0 | 0.7 |
Significant Other Observable Inputs (Level 2) | United States | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 319.7 | 414.3 |
Significant Other Observable Inputs (Level 2) | United States | Real estate and other real assets | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | United States | Hedge funds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 41.3 | 58.0 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 23.1 | 28.1 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Insurance contracts | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 18.2 | 29.9 |
Significant Other Observable Inputs (Level 2) | Foreign Pension Plans | Commingled funds – multi-strategy | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 469.9 | 677.5 |
Investments Measured at NAV | United States | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Commingled funds – domestic | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 189.1 | 311.7 |
Investments Measured at NAV | United States | Commingled funds – foreign | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 180.6 | 261.4 |
Investments Measured at NAV | United States | Private equity partnerships | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 11.0 | 14.5 |
Investments Measured at NAV | United States | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | United States | Real estate and other real assets | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 2.5 | 2.7 |
Investments Measured at NAV | United States | Hedge funds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 86.7 | 87.2 |
Investments Measured at NAV | Foreign Pension Plans | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 113.4 | 172.5 |
Investments Measured at NAV | Foreign Pension Plans | Cash and cash equivalents | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | Foreign Pension Plans | Government | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | Foreign Pension Plans | Corporate bonds | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | Foreign Pension Plans | Insurance contracts | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | 0.0 | 0.0 |
Investments Measured at NAV | Foreign Pension Plans | Commingled funds – multi-strategy | Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Fair value of plan assets | $ 113.4 | $ 172.5 |

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