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EQUITY - Summary of the Changes in Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended
Jul. 27, 2020
Jul. 30, 2019
Jan. 02, 2021
Dec. 28, 2019
Schedule of Equity Method Investments [Line Items]        
Dividends declared (USD per share) $ 0.62 $ 0.58 $ 0.62 $ 0.58
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     $ 697.2  
Noncontrolling interest, beginning balance     5.7  
Total equity, beginning balance     702.9 $ 723.2
Net income (loss)     25.2 (71.3)
Other comprehensive income (loss)     15.6 2.9
Share-based compensation     8.2 7.0
Dividends declared     (35.7) (33.5)
Treasury share purchases     (38.4)  
Treasury share issuances     1.2 0.9
Equity ending balance     672.6 624.6
Noncontrolling interest, ending balance     6.4 4.7
Total equity, ending balance     679.0 629.3
Common Shares and Capital in Excess of Stated Value        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     482.5 442.2
Share-based compensation     8.2 7.0
Treasury share issuances     (0.1) (0.3)
Equity ending balance     490.5 448.9
Retained Earnings        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     1,235.6 1,274.7
Net income (loss)     24.4 (71.4)
Dividends declared     (35.7) (33.5)
Equity ending balance     1,224.4 1,169.8
Treasury Shares        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     (921.8) (904.3)
Treasury share purchases     (38.4)  
Treasury share issuances     1.3 1.2
Equity ending balance     (958.8) (903.1)
Accumulated Other Comprehensive Loss        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     (99.1) (93.9)
Other comprehensive income (loss)     15.6 2.9
Equity ending balance     (83.5) (91.0)
Total Equity - Controlling Interest        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Equity beginning balance     697.2 718.7
Net income (loss)     24.4 (71.4)
Other comprehensive income (loss)     15.6 2.9
Share-based compensation     8.2 7.0
Dividends declared     (35.7) (33.5)
Treasury share purchases     (38.4)  
Treasury share issuances     1.2 0.9
Equity ending balance     672.6 624.6
Noncontrolling Interest        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Noncontrolling interest, beginning balance     5.7 4.5
Net income (loss)     0.8 0.1
Noncontrolling interest, ending balance     $ 6.4 $ 4.7