Pension Plans - Narrative (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Defined Benefit Plan Disclosure [Line Items]
Normal retirement age	65 years
Accumulated benefit obligation	$ 1,580.4	$ 1,621.5
Expense recognized related to 401(k)plan	$ 11.3	$ 10.3	$ 9.8
Minimum
Defined Benefit Plan Disclosure [Line Items]
Time horizon for asset under risk and correlation assumption (in years)	10 years
Maximum
Defined Benefit Plan Disclosure [Line Items]
Time horizon for asset under risk and correlation assumption (in years)	20 years
United States
Defined Benefit Plan Disclosure [Line Items]
Weighted-average discount rate	2.90%
Increase in pension expense	$ 4.0
Increase in projected benefit obligation	$ 77.0
Percentage of projected benefit obligations	82.00%
Foreign Pension Plans
Defined Benefit Plan Disclosure [Line Items]
Weighted-average discount rate	2.00%
Increase in pension expense	$ 2.4
Increase in projected benefit obligation	$ 27.8
Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Expected long-term rate of return on plan assets	6.50%	7.00%	7.10%
Pension Plan | United States
Defined Benefit Plan Disclosure [Line Items]
Expected future employer contributions	$ 9.5
Expected long-term rate of return on plan assets	6.50%
Pension plans' assets as percentage of worldwide pension assets	86.00%
Pension Plan | Foreign Pension Plans
Defined Benefit Plan Disclosure [Line Items]
Expected future employer contributions	$ 9.4
Pension Plan | Foreign Pension Plans | Minimum
Defined Benefit Plan Disclosure [Line Items]
Expected long-term rate of return on plan assets	1.30%
Pension Plan | Foreign Pension Plans | Maximum
Defined Benefit Plan Disclosure [Line Items]
Expected long-term rate of return on plan assets	5.60%