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EQUITY - Summary of the Changes in Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended
Jul. 30, 2021
Jul. 27, 2020
Jul. 30, 2019
Jan. 01, 2022
Jan. 02, 2021
Schedule of Equity Method Investments [Line Items]          
Dividends declared (USD per share) $ 0.66 $ 0.62 $ 0.58 $ 0.66 $ 0.62
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       $ 1,013.3  
Noncontrolling interest, beginning balance       0.0  
Total equity, beginning balance       1,013.3 $ 702.9
Net income (loss)       (50.0) 25.2
Other comprehensive income (loss)       5.7 15.6
Share-based compensation       7.3 8.2
Dividends declared       (37.3) (35.7)
Treasury share purchases       (129.5) (38.4)
Treasury share issuances       22.1 1.2
Equity ending balance       831.6 672.6
Noncontrolling interest, ending balance       0.0 6.4
Total equity, ending balance       831.6 679.0
Common Shares and Capital in Excess of Stated Value          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       477.0 482.5
Share-based compensation       7.3 8.2
Treasury share issuances       2.6 (0.1)
Equity ending balance       486.9 490.5
Retained Earnings          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       1,605.1 1,235.6
Net income (loss)       (50.0) 24.4
Dividends declared       (37.3) (35.7)
Equity ending balance       1,517.8 1,224.4
Treasury Shares          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       (1,002.4) (921.8)
Treasury share purchases       (129.5) (38.4)
Treasury share issuances       19.5 1.3
Equity ending balance       (1,112.4) (958.8)
Accumulated Other Comprehensive Loss          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       (66.4) (99.1)
Other comprehensive income (loss)       5.7 15.6
Equity ending balance       (60.7) (83.5)
Total Equity - Controlling Interest          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Equity beginning balance       1,013.3 697.2
Net income (loss)       (50.0) 24.4
Other comprehensive income (loss)       5.7 15.6
Share-based compensation       7.3 8.2
Dividends declared       (37.3) (35.7)
Treasury share purchases       (129.5) (38.4)
Treasury share issuances       22.1 1.2
Equity ending balance       831.6 672.6
Noncontrolling Interest          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Noncontrolling interest, beginning balance       0.0 5.7
Net income (loss)       0.0 0.8
Noncontrolling interest, ending balance       $ 0.0 $ 6.4