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Employee Benefit Plans (Supplemental Executive Retirement Plan) (Details) - Supplemental Employee Retirement Plans, Defined Benefit [Member] - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Defined Benefit Plan Disclosure [Line Items]
Projected benefit obligation	$ 18.9	$ 24.1
Fair value of plan assets	0.9	1.6
Pension expense	$ (3.2)	$ 0.2	$ 2.1

Amount of asset segregated and restricted to provide benefit under defined benefit plan. Asset includes, but is not limited to, stock, bond, other investment, earning from investment, and contribution by employer and employee.

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