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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