EMPLOYEE BENEFIT PLANS - Changes in Pension and Other Post-Retirement Benefit Obligations, Fair Value Of Plan Assets, as well as Amounts Recognized in the Consolidated Balance Sheets (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Amounts recognized in the Consolidated Balance Sheets
Non-current benefit liability	$ (474.1)	$ (629.4)
Other Postretirement Benefits Plan
Change in benefit obligation
Benefit obligation at end of prior year	61.2	52.2
Service cost	0.4	0.6	$ 0.3
Interest cost	0.9	1.5	1.6
Special termination benefit	0.0	16.1	0.0
Settlements/curtailments	0.0	0.0
Actuarial (gain) loss	6.6	2.9
Plan amendments	0.0	0.0
Foreign currency exchange rate changes	(0.2)	(1.8)
Participant contributions	0.0	0.0
Acquisitions, divestitures, and other	0.0	0.0
Benefits paid	(5.4)	(4.5)
Benefit obligation at end of year	50.3	61.2	52.2
Change in plan assets
Fair value of plan assets at end of prior year	0.0	0.0
Actual return on plan assets	0.0	0.0
Participant contributions	0.0	0.0
Employer contributions	5.4	4.5
Settlements	0.0	0.0
Foreign currency exchange rate changes	0.0	0.0
Acquisitions, divestitures, and other	0.0	0.0
Benefits paid	5.4	4.5
Fair value of plan assets at end of plan year	0.0	0.0	0.0
Funded status — assets less than benefit obligation	(50.3)	(61.2)
Unrecognized prior service cost (credit)	(0.1)	0.6
Unrecognized net actuarial loss (gain)	(9.7)	(3.2)
Net amount recognized	(59.9)	(65.0)
Amounts recognized in the Consolidated Balance Sheets
Prepaid benefit cost (non-current)	0.0	0.0
Current benefit liability	(7.5)	(6.8)
Non-current benefit liability	(42.8)	(54.4)
Net liability recognized	(50.3)	(61.2)
Accumulated other comprehensive loss (pre-tax):
Prior service cost (credit)	0.1	(0.6)
Actuarial loss (gain)	(9.7)	(3.2)
Defined benefit plan, Accumulated other comprehensive loss (pre-tax)	(9.6)	(3.8)
UNITED STATES
Change in benefit obligation
Benefit obligation at end of prior year	1,404.3	1,325.4
Service cost	6.5	6.8	12.3
Interest cost	23.0	35.3	47.1
Special termination benefit	0.0	0.0	0.0
Settlements/curtailments	(0.8)	0.0
Actuarial (gain) loss	47.2	(123.3)
Plan amendments	0.8	0.1
Foreign currency exchange rate changes	0.0	0.0
Participant contributions	0.0	0.0
Acquisitions, divestitures, and other	152.4	(4.0)
Benefits paid	(80.8)	(82.6)
Benefit obligation at end of year	1,458.2	1,404.3	1,325.4
Change in plan assets
Fair value of plan assets at end of prior year	1,191.5	1,103.5
Actual return on plan assets	63.4	160.9
Participant contributions	0.0	0.0
Employer contributions	13.8	13.7
Settlements	(0.8)	0.0
Foreign currency exchange rate changes	0.0	0.0
Acquisitions, divestitures, and other	153.0	(4.0)
Benefits paid	80.8	82.6
Fair value of plan assets at end of plan year	1,340.1	1,191.5	1,103.5
Funded status — assets less than benefit obligation	(118.1)	(212.8)
Unrecognized prior service cost (credit)	(3.5)	(3.8)
Unrecognized net actuarial loss (gain)	213.4	278.7
Net amount recognized	98.8	69.7
Amounts recognized in the Consolidated Balance Sheets
Prepaid benefit cost (non-current)	0.6	0.0
Current benefit liability	(6.0)	(7.3)
Non-current benefit liability	(112.7)	(205.5)
Net liability recognized	(118.1)	(212.8)
Accumulated other comprehensive loss (pre-tax):
Prior service cost (credit)	3.5	3.8
Actuarial loss (gain)	213.4	278.7
Defined benefit plan, Accumulated other comprehensive loss (pre-tax)	216.9	282.5
Foreign Plan
Change in benefit obligation
Benefit obligation at end of prior year	1,622.3	1,449.9
Service cost	17.6	16.1	14.6
Interest cost	16.7	22.5	30.3
Special termination benefit	0.0	0.2	0.0
Settlements/curtailments	(15.3)	(5.5)
Actuarial (gain) loss	92.4	(112.0)
Plan amendments	0.1	0.1
Foreign currency exchange rate changes	(37.7)	84.9
Participant contributions	0.2	0.3
Acquisitions, divestitures, and other	28.9	(6.5)
Benefits paid	(50.0)	(51.7)
Benefit obligation at end of year	1,490.4	1,622.3	1,449.9
Change in plan assets
Fair value of plan assets at end of prior year	1,229.6	1,093.5
Actual return on plan assets	17.9	119.3
Participant contributions	0.2	0.3
Employer contributions	20.8	22.0
Settlements	(13.7)	(5.2)
Foreign currency exchange rate changes	(15.6)	55.6
Acquisitions, divestitures, and other	37.4	(4.2)
Benefits paid	50.0	51.7
Fair value of plan assets at end of plan year	1,226.6	1,229.6	$ 1,093.5
Funded status — assets less than benefit obligation	(263.8)	(392.7)
Unrecognized prior service cost (credit)	16.4	17.4
Unrecognized net actuarial loss (gain)	268.3	360.3
Net amount recognized	(11.9)	(49.8)
Amounts recognized in the Consolidated Balance Sheets
Prepaid benefit cost (non-current)	62.4	0.2
Current benefit liability	(10.3)	(10.2)
Non-current benefit liability	(315.9)	(382.7)
Net liability recognized	(263.8)	(392.7)
Accumulated other comprehensive loss (pre-tax):
Prior service cost (credit)	(16.4)	(17.4)
Actuarial loss (gain)	268.3	360.3
Defined benefit plan, Accumulated other comprehensive loss (pre-tax)	$ 251.9	$ 342.9