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ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jul. 02, 2023
Apr. 02, 2023
Jan. 01, 2023
Jul. 03, 2022
Apr. 03, 2022
Jan. 02, 2022
Jul. 02, 2023
Jul. 03, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Balances at beginning of period $ 1,189.1 $ 1,239.4 $ 1,269.1 $ 1,328.6 $ 1,347.9 $ 1,479.0 $ 1,269.1 $ 1,479.0
Net change to derive comprehensive income for the period 34.8     (31.5)     65.6 (27.5)
Balances at end of period 2,559.9 1,189.1 1,239.4 1,312.2 1,328.6 1,347.9 2,559.9 1,312.2
Total                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Balances at beginning of period (272.9) (288.9) (303.1) (231.3) (231.3) (235.3) (303.1) (235.3)
Other comprehensive income (loss) before reclassification 1.4 7.6 (1.1) (20.1) 5.8 8.6    
Other comprehensive income (loss) before tax 8.3 11.7 (2.7) (24.9) 4.6 7.0    
Deferred tax effect 0.4 4.5 17.2 (6.6) (4.7) (2.9)    
Net change to derive comprehensive income for the period 34.8 16.2 14.5 (31.5) (0.1) 4.1    
Other comprehensive income (loss) attributable to controlling interest 34.3 16.0 14.2 (31.1) 0.0 4.0    
Balances at end of period (238.6) (272.9) (288.9) (262.4) (231.3) (231.3) (238.6) (262.4)
Total | Continuing Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 4.6 4.2 (1.6) (3.8) (0.5) (1.1)    
Net change to derive comprehensive income for the period 8.7              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest   0.1 0.2 (0.1) (0.1) 0.1    
Total | Discontinued Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 2.3 (0.1)   (1.0) (0.7) (0.5)    
Net change to derive comprehensive income for the period 26.1              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest (0.2) 0.1 0.1 (0.3)        
Less: Deconsolidation of discontinued operations 0.7              
Foreign Currency Translation                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Balances at beginning of period (232.7) (250.8) (285.9) (197.2) (192.6) (194.8) (285.9) (194.8)
Other comprehensive income (loss) before reclassification 11.6 14.6 26.6 (26.7) (1.6) 6.8    
Other comprehensive income (loss) before tax 11.6 14.6 26.6 (26.7) (1.6) 6.8    
Deferred tax effect (0.4) 3.7 8.8 (6.6) (3.1) (4.5)    
Net change to derive comprehensive income for the period 37.8 18.3 35.4 (33.3) (4.7) 2.3    
Other comprehensive income (loss) attributable to controlling interest 37.3 18.1 35.1 (32.9) (4.6) 2.2    
Balances at end of period (195.4) (232.7) (250.8) (230.1) (197.2) (192.6) (195.4) (230.1)
Foreign Currency Translation | Continuing Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 0.0 0.0 0.0 0.0 0.0 0.0    
Net change to derive comprehensive income for the period 11.2              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest   0.1 0.2 (0.1) (0.1) 0.1    
Foreign Currency Translation | Discontinued Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 0.0 0.0   0.0 0.0 0.0    
Net change to derive comprehensive income for the period 26.6              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest (0.2) 0.1 0.1 (0.3)        
Less: Deconsolidation of discontinued operations 0.7              
Derivative Instruments                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Balances at beginning of period (5.5) (3.9) 16.8 12.7 9.5 6.4 16.8 6.4
Other comprehensive income (loss) before reclassification (9.0) (7.1) (25.4) 4.3 6.4 1.2    
Other comprehensive income (loss) before tax (3.0) (2.3) (27.9) (1.5) 4.2 (1.4)    
Deferred tax effect 0.8 0.7 7.2 0.9 (1.0) 4.5    
Net change to derive comprehensive income for the period (2.2) (1.6) (20.7) (0.6) 3.2 3.1    
Other comprehensive income (loss) attributable to controlling interest (2.2) (1.6) (20.7) (0.6) 3.2 3.1    
Balances at end of period (7.7) (5.5) (3.9) 12.1 12.7 9.5 (7.7) 12.1
Derivative Instruments | Continuing Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 3.6 4.9 (2.5) (4.9) (1.5) (2.1)    
Net change to derive comprehensive income for the period (2.2)              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest   0.0 0.0 0.0 0.0 0.0    
Derivative Instruments | Discontinued Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 2.4 (0.1)   (0.9) (0.7) (0.5)    
Net change to derive comprehensive income for the period 0.0              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest 0.0 0.0 0.0 0.0        
Less: Deconsolidation of discontinued operations 0.0              
Defined Benefit Pension                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Balances at beginning of period (34.7) (34.2) (34.0) (46.8) (48.2) (46.9) (34.0) (46.9)
Other comprehensive income (loss) before reclassification (1.2) 0.1 (2.3) 2.3 1.0 0.6    
Other comprehensive income (loss) before tax (0.3) (0.6) (1.4) 3.3 2.0 1.6    
Deferred tax effect 0.0 0.1 1.2 (0.9) (0.6) (2.9)    
Net change to derive comprehensive income for the period (0.8) (0.5) (0.2) 2.4 1.4 (1.3)    
Other comprehensive income (loss) attributable to controlling interest (0.8) (0.5) (0.2) 2.4 1.4 (1.3)    
Balances at end of period (35.5) (34.7) (34.2) (44.4) (46.8) (48.2) $ (35.5) $ (44.4)
Defined Benefit Pension | Continuing Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income 1.0 (0.7) 0.9 1.1 1.0 1.0    
Net change to derive comprehensive income for the period (0.3)              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest   0.0 0.0 0.0 0.0 0.0    
Defined Benefit Pension | Discontinued Operations                
AOCI Attributable to Parent, Net of Tax [Roll Forward]                
Net reclassification for (gain) loss to income (0.1) 0.0   (0.1) $ 0.0 $ 0.0    
Net change to derive comprehensive income for the period (0.5)              
Less: other comprehensive income (loss) from operations attributable to non-controlling interest 0.0 $ 0.0 $ 0.0 $ 0.0        
Less: Deconsolidation of discontinued operations $ 0.0