Pension Plans - Summary of Fair Value by Asset Category and Within Fair Value Hierarchy (Detail) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 1,710.9	$ 1,632.4	$ 1,455.5
United States
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	1,464.7	1,401.0
United States | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	1,464.7	1,401.0
United States | Cash and cash equivalents | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	23.7	30.3
United States | Domestic | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	109.4	111.8
United States | Foreign | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	59.1	62.4
United States | Commingled funds – domestic | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	311.7	312.9
United States | Commingled funds – foreign | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	261.4	248.5
United States | Private equity partnerships | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	14.5	14.7
United States | Government | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	180.7	164.6
United States | Corporate bonds | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	414.3	377.9
United States | Real estate and other real assets | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	2.7	4.3
United States | Hedge funds | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	87.2	73.6
Foreign Pension Plans | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	246.2	231.4
Foreign Pension Plans | Cash and cash equivalents | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	1.8	1.0
Foreign Pension Plans | Government | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	13.9	12.0
Foreign Pension Plans | Corporate bonds | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	28.1	23.8
Foreign Pension Plans | Insurance contracts | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	29.9	32.2
Foreign Pension Plans | Commingled funds – multi-strategy | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	172.5	162.4
Quoted Prices for Identical Assets (Level 1)   | United States | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	372.2	366.2
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	23.7	30.3
Quoted Prices for Identical Assets (Level 1)   | United States | Domestic | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	109.4	111.8
Quoted Prices for Identical Assets (Level 1)   | United States | Foreign | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	59.1	62.4
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	180.0	161.7
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	15.7	13.0
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	1.8	1.0
Quoted Prices for Identical Assets (Level 1)   | Foreign Pension Plans | Government | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	13.9	12.0
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	415.0	380.8
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	0.7	2.9
Significant Other Observable Inputs (Level 2)   | United States | Corporate bonds | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	414.3	377.9
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	58.0	56.0
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	28.1	23.8
Significant Other Observable Inputs (Level 2)   | Foreign Pension Plans | Insurance contracts | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	29.9	32.2
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	677.5	654.0
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	311.7	312.9
Investments Measured at NAV | United States | Commingled funds – foreign | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	261.4	248.5
Investments Measured at NAV | United States | Private equity partnerships | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	14.5	14.7
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	2.7	4.3
Investments Measured at NAV | United States | Hedge funds | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	87.2	73.6
Investments Measured at NAV | Foreign Pension Plans | Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	172.5	162.4
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	$ 172.5	$ 162.4