Retirement Plans - Changes in Company's Assets and Related Obligations for its Pension Plans (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Change in projected benefit obligations:
Projected benefit obligations at beginning of the year	$ 455.8	$ 401.0
Service cost pertaining to benefits earned during the year	6.9	6.4	$ 5.5
Interest cost on projected benefit obligations	12.8	14.2	15.2
Actuarial loss (gain)	(26.6)	48.1
Benefits paid to plan participants	(14.6)	(13.9)
Projected benefit obligations at end of the year	434.3	455.8	401.0
Change in fair value of pension assets:
Fair value of pension assets at beginning of the year	305.0	287.6
Actual return on plan assets	30.1	28.8
Benefits paid to plan participants	(14.6)	(13.9)
Fair value of pension assets at end of the year	323.0	305.0	$ 287.6
Funded status	(111.3)	(150.8)
Amounts recognized in the consolidated balance sheets:
Current liabilities	(3.9)	(3.8)
Accrued pension liabilities	(107.4)	(147.0)
Net amount recognized	(111.3)	(150.8)
Funded status of pension plans and SERP (supplemental):
Funded status of qualified defined benefit plans and SERP	(111.3)	(150.8)
Nonqualified trust assets	45.6	44.0
Net funded status of pension plans and SERP (supplemental)	(73.3)	(114.2)
SERP [Member]
Change in fair value of pension assets:
Company contributions	2.5	2.5
Funded status of pension plans and SERP (supplemental):
Nonqualified trust assets	$ 38.0	$ 36.6