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ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Millions
 3 Months Ended
Jul. 03, 2022
Apr. 03, 2022
Jan. 02, 2022
Jul. 04, 2021
Apr. 04, 2021
Jan. 03, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Balances at beginning of period $ 1,328.6 $ 1,347.9 $ 1,479.0 $ 1,494.6 $ 1,444.2 $ 1,415.8
Other comprehensive income (loss) income before reclassification (20.1) 5.8 8.6 (0.2) 28.9 4.8
Other comprehensive income (loss) before tax (24.9) 4.6 7.0 3.6 33.0 8.6
Deferred tax effect (6.6) (4.7) (2.9) 0.3 (8.0) 8.0
Other comprehensive income (loss), net of tax (31.5) (0.1) 4.1 3.9 25.0 16.6
Other comprehensive income (loss) attributable to controlling interest (31.1) 0.0 4.0 3.8 25.1 16.2
Balances at end of period 1,312.2 1,328.6 1,347.9 1,508.2 1,494.6 1,444.2
Continuing Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income (3.8) (0.5) (1.1) 3.7 4.2 3.7
Less: other comprehensive income (loss) attributable to non-controlling interest (0.1) (0.1)     (0.1) 0.1
Discontinued Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income (1.0) (0.7) (0.5) 0.1 (0.1) 0.1
Less: other comprehensive income (loss) attributable to non-controlling interest (0.3)   0.1 0.1   0.3
Total            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Balances at beginning of period (231.3) (231.3) (235.3) (243.4) (268.5) (284.7)
Balances at end of period (262.4) (231.3) (231.3) (239.6) (243.4) (268.5)
Foreign Currency Translation            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Balances at beginning of period (197.2) (192.6) (194.8) (185.0) (202.3) (226.6)
Other comprehensive income (loss) income before reclassification (26.7) (1.6) 6.8 1.0 22.2 19.4
Other comprehensive income (loss) before tax (26.7) (1.6) 6.8 1.0 22.2 19.4
Deferred tax effect (6.6) (3.1) (4.5) 0.9 (5.0) 5.3
Other comprehensive income (loss), net of tax (33.3) (4.7) 2.3 1.9 17.2 24.7
Other comprehensive income (loss) attributable to controlling interest (32.9) (4.6) 2.2 1.8 17.3 24.3
Balances at end of period (230.1) (197.2) (192.6) (183.2) (185.0) (202.3)
Foreign Currency Translation | Continuing Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income 0.0 0.0 0.0 0.0 0.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest (0.1) (0.1)     (0.1) 0.1
Foreign Currency Translation | Discontinued Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income 0.0 0.0 0.0 0.0 0.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest (0.3)   0.1 0.1   0.3
Derivative Instruments            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Balances at beginning of period 12.7 9.5 6.4 2.8 (3.6) 3.6
Other comprehensive income (loss) income before reclassification 4.3 6.4 1.2 (1.0) 5.8 (12.4)
Other comprehensive income (loss) before tax (1.5) 4.2 (1.4) 1.8 8.8 (9.7)
Deferred tax effect 0.9 (1.0) 4.5 (0.4) (2.4) 2.5
Other comprehensive income (loss), net of tax (0.6) 3.2 3.1 1.4 6.4 (7.2)
Other comprehensive income (loss) attributable to controlling interest (0.6) 3.2 3.1 1.4 6.4 (7.2)
Balances at end of period 12.1 12.7 9.5 4.2 2.8 (3.6)
Derivative Instruments | Continuing Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income (4.9) (1.5) (2.1) 2.6 3.1 2.6
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0 0.0     0.0 0.0
Derivative Instruments | Discontinued Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income (0.9) (0.7) (0.5) 0.2 (0.1) 0.1
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0   0.0 0.0   0.0
Defined Benefit Pension            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Balances at beginning of period (46.8) (48.2) (46.9) (61.2) (62.6) (61.7)
Other comprehensive income (loss) income before reclassification 2.3 1.0 0.6 (0.2) 0.9 (2.2)
Other comprehensive income (loss) before tax 3.3 2.0 1.6 0.8 2.0 (1.1)
Deferred tax effect (0.9) (0.6) (2.9) (0.2) (0.6) 0.2
Other comprehensive income (loss), net of tax 2.4 1.4 (1.3) 0.6 1.4 (0.9)
Other comprehensive income (loss) attributable to controlling interest 2.4 1.4 (1.3) 0.6 1.4 (0.9)
Balances at end of period (44.4) (46.8) (48.2) (60.6) (61.2) (62.6)
Defined Benefit Pension | Continuing Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income 1.1 1.0 1.0 1.1 1.1 1.1
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0 0.0     0.0 0.0
Defined Benefit Pension | Discontinued Operations            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Net reclassifications for (gain) loss to income (0.1) $ 0.0 0.0 (0.1) $ 0.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest $ 0.0   $ 0.0 $ 0.0   $ 0.0