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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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