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EQUITY - Summary of the Changes in Equity (Details) - USD ($) $ / shares in Units, $ in Millions				3 Months Ended				6 Months Ended
	Jul. 30, 2021	Jul. 27, 2020	Jul. 30, 2019	Apr. 02, 2022	Jan. 01, 2022	Apr. 03, 2021	Jan. 02, 2021	Apr. 02, 2022	Apr. 03, 2021
Schedule of Equity Method Investments [Line Items]
Dividends declared (USD per share)	$ 0.66	$ 0.62	$ 0.58	$ 0.66	$ 0.66	$ 0.62	$ 0.62
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Total equity, beginning balance				$ 831.6	$ 1,013.3	$ 679.0	$ 702.9	$ 1,013.3	$ 702.9
Net income (loss)				276.5	(50.0)	310.2	25.2	226.4	335.3
Other comprehensive income (loss)				12.3	5.7	5.5	15.6	18.1	21.1
Share-based compensation				15.9	7.3	17.7	8.2
Dividends declared				(35.5)	(37.3)	(34.2)	(35.7)
Treasury share purchases				(128.1)	(129.5)	(23.8)	(38.4)
Treasury share issuances				2.3	22.1	6.6	1.2
Acquisition of noncontrolling interests						(20.1)
Total equity, ending balance				975.0	831.6	940.9	679.0	975.0	940.9
Common Shares and Capital in Excess of Stated Value
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Equity beginning balance				486.9	477.0	490.5	482.5	477.0	482.5
Share-based compensation				15.9	7.3	17.7	8.2
Treasury share issuances				(141.0)	2.6	(21.7)	(0.1)
Acquisition of noncontrolling interests						(13.4)
Equity ending balance				361.8	486.9	473.0	490.5	361.8	473.0
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Equity beginning balance				1,517.8	1,605.1	1,224.4	1,235.6	1,605.1	1,235.6
Net income (loss)				276.5	(50.0)	310.0	24.4
Dividends declared				(35.5)	(37.3)	(34.2)	(35.7)
Equity ending balance				1,758.8	1,517.8	1,500.2	1,224.4	1,758.8	1,500.2
Treasury Shares
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Equity beginning balance				(1,112.4)	(1,002.4)	(958.8)	(921.8)	(1,002.4)	(921.8)
Treasury share purchases				(128.1)	(129.5)	(23.8)	(38.4)
Treasury share issuances				143.3	19.5	28.3	1.3
Equity ending balance				(1,097.2)	(1,112.4)	(954.3)	(958.8)	(1,097.2)	(954.3)
Accumulated Other Comprehensive Loss
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Equity beginning balance				(60.7)	(66.4)	(83.5)	(99.1)	(66.4)	(99.1)
Other comprehensive income (loss)				12.3	5.7	5.5	15.6
Equity ending balance				(48.4)	(60.7)	(78.0)	(83.5)	(48.4)	(78.0)
Total Equity - Controlling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Equity beginning balance				831.6	1,013.3	672.6	697.2	1,013.3	697.2
Net income (loss)				276.5	(50.0)	310.0	24.4
Other comprehensive income (loss)				12.3	5.7	5.5	15.6
Share-based compensation				15.9	7.3	17.7	8.2
Dividends declared				(35.5)	(37.3)	(34.2)	(35.7)
Treasury share purchases				(128.1)	(129.5)	(23.8)	(38.4)
Treasury share issuances				2.3	22.1	6.6	1.2
Acquisition of noncontrolling interests						(13.4)
Equity ending balance				975.0	831.6	940.9	672.6	975.0	940.9
Noncontrolling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling interest, beginning balance				0.0	0.0	6.4	5.7	0.0	5.7
Net income (loss)				0.0	0.0	0.2	0.8
Acquisition of noncontrolling interests						(6.7)
Noncontrolling interest, ending balance				$ 0.0	$ 0.0	$ 0.0	$ 6.4	$ 0.0	$ 0.0

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