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EQUITY - Summary of the Changes in Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended
Jul. 30, 2021
Jul. 27, 2020
Jul. 30, 2019
Jul. 02, 2022
Apr. 02, 2022
Jan. 01, 2022
Jul. 03, 2021
Apr. 03, 2021
Jan. 02, 2021
Jul. 02, 2022
Jul. 03, 2021
Schedule of Equity Method Investments [Line Items]                      
Dividends declared (USD per share) $ 0.66 $ 0.62 $ 0.58 $ 0.66 $ 0.66 $ 0.66 $ 0.62 $ 0.62 $ 0.62    
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Total equity, beginning balance       $ 975.0 $ 831.6 $ 1,013.3 $ 940.9 $ 679.0 $ 702.9 $ 1,013.3 $ 702.9
Net income (loss)       (443.9) 276.5 (50.0) 225.9 310.2 25.2 (217.5) 561.3
Other comprehensive income (loss)       (76.3) 12.3 5.7 4.1 5.5 15.6 (58.3) 25.2
Other comprehensive income (loss)       (76.3)     4.1     (58.3) 25.2
Share-based compensation       1.6 15.9 7.3 8.1 17.7 8.2    
Dividends declared       (38.0) (35.5) (37.3) (35.1) (34.2) (35.7)    
Treasury share purchases       (0.1) (128.1) (129.5) (28.8) (23.8) (38.4)    
Treasury share issuances       (0.2) 2.3 22.1 7.3 6.6 1.2    
Acquisition of noncontrolling interests               (20.1)      
Total equity, ending balance       418.1 975.0 831.6 1,122.4 940.9 679.0 418.1 1,122.4
Common Shares and Capital in Excess of Stated Value                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Equity beginning balance       361.8 486.9 477.0 473.0 490.5 482.5 477.0 482.5
Share-based compensation       1.6 15.9 7.3 8.1 17.7 8.2    
Treasury share issuances       (1.4) (141.0) 2.6 (9.7) (21.7) (0.1)    
Acquisition of noncontrolling interests               (13.4)      
Equity ending balance       362.0 361.8 486.9 471.4 473.0 490.5 362.0 471.4
Retained Earnings                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Equity beginning balance       1,758.8 1,517.8 1,605.1 1,500.2 1,224.4 1,235.6 1,605.1 1,235.6
Net income (loss)       (443.9) 276.5 (50.0) 225.9 310.0 24.4    
Dividends declared       (38.0) (35.5) (37.3) (35.1) (34.2) (35.7)    
Equity ending balance       1,276.9 1,758.8 1,517.8 1,691.0 1,500.2 1,224.4 1,276.9 1,691.0
Treasury Shares                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Equity beginning balance       (1,097.2) (1,112.4) (1,002.4) (954.3) (958.8) (921.8) (1,002.4) (921.8)
Treasury share purchases       (0.1) (128.1) (129.5) (28.8) (23.8) (38.4)    
Treasury share issuances       1.2 143.3 19.5 17.0 28.3 1.3    
Equity ending balance       (1,096.1) (1,097.2) (1,112.4) (966.1) (954.3) (958.8) (1,096.1) (966.1)
Accumulated Other Comprehensive Loss                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Equity beginning balance       (48.4) (60.7) (66.4) (78.0) (83.5) (99.1) (66.4) (99.1)
Other comprehensive income (loss)         12.3 5.7   5.5 15.6    
Other comprehensive income (loss)       (76.3)     4.1        
Equity ending balance       (124.7) (48.4) (60.7) (73.9) (78.0) (83.5) (124.7) (73.9)
Total Equity - Controlling Interest                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Equity beginning balance       975.0 831.6 1,013.3 940.9 672.6 697.2 1,013.3 697.2
Net income (loss)       (443.9) 276.5 (50.0) 225.9 310.0 24.4    
Other comprehensive income (loss)         12.3 5.7   5.5 15.6    
Other comprehensive income (loss)       (76.3)     4.1        
Share-based compensation       1.6 15.9 7.3 8.1 17.7 8.2    
Dividends declared       (38.0) (35.5) (37.3) (35.1) (34.2) (35.7)    
Treasury share purchases       (0.1) (128.1) (129.5) (28.8) (23.8) (38.4)    
Treasury share issuances       (0.2) 2.3 22.1 7.3 6.6 1.2    
Acquisition of noncontrolling interests               (13.4)      
Equity ending balance       418.1 975.0 831.6 1,122.4 940.9 672.6 418.1 1,122.4
Noncontrolling Interest                      
Increase (Decrease) in Stockholders' Equity [Roll Forward]                      
Noncontrolling interest, beginning balance       0.0 0.0 0.0 0.0 6.4 5.7 0.0 5.7
Net income (loss)         0.0     0.2 0.8    
Acquisition of noncontrolling interests               (6.7)      
Noncontrolling interest, ending balance       $ 0.0 $ 0.0 $ 0.0 $ 0.0 $ 0.0 $ 6.4 $ 0.0 $ 0.0