Pension Plans and Postretirement Benefits (Schedule of Fair Value of Assets Category) (Details) - Recurring - Pension Plan - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 606.0	$ 599.6
Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	245.2	246.7
Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	360.8	352.9
Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Investments measured at net asset value:
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	311.2	309.3
Cash and Cash Equivalents
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	69.0	55.0
Cash and Cash Equivalents | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Cash and Cash Equivalents | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	69.0	55.0
Cash and Cash Equivalents | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Equity instruments
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	232.4	263.5
Equity instruments | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	2.4	44.6
Equity instruments | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	230.0	218.9
Equity instruments | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
U.S. government securities and futures
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	255.8	215.4
U.S. government securities and futures | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	242.8	202.1
U.S. government securities and futures | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	13.0	13.3
U.S. government securities and futures | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Corporate bonds
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	33.3	48.8
Corporate bonds | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Corporate bonds | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	33.3	48.8
Corporate bonds | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Insurance contracts related to foreign plans
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	15.5	16.9
Insurance contracts related to foreign plans | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Insurance contracts related to foreign plans | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	15.5	16.9
Insurance contracts related to foreign plans | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0.0	0.0
Alternatives | Investments measured at net asset value:
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	211.8	202.9
Mutual funds | Investments measured at net asset value:
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	7.3	16.8
Mortgage-backed securities | Investments measured at net asset value:
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	54.7	52.5
High-yield bonds | Investments measured at net asset value:
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 37.4	$ 37.1