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INCOME TAXES - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Nov. 28, 2021 | Nov. 29, 2020 | Nov. 28, 2021 | Nov. 29, 2020 | May 30, 2021
Income Tax Disclosure [Abstract] |  |  |  |  |
Income tax expense (benefit) | $ 84.2 | $ 80.7 | $ 153.9 | $ 167.4 |
Effective tax rate | 23.40% | 17.60% | 23.10% | 19.10% |
Effective tax rate from settlement of tax issues |  |  | $ 3.6 |  |
Effective tax rate from release of valuation allowance associated with the expected capital gains from the planned divestiture |  | $ 25.3 |  |  |
Effective tax rate on certain provisions of 2017 Tax Cuts and Jobs Act |  |  |  | $ 7.6 |
Gross unrecognized tax benefits for uncertain tax positions | $ 25.3 |  | 25.3 |  | $ 33.0
Tax positions for which ultimate deductibility is highly certain but timing of such deductibility is uncertain | 0.2 |  | 0.2 |  | 0.8
Related liabilities for gross interest and penalties | 7.3 |  | 7.3 |  | 8.8
Net amount of unrecognized tax benefits that, if recognized, would favorably impact the effective tax rate | 21.0 |  | 21.0 |  | $ 28.2
Gross unrecognized tax benefits, estimated decrease over the next twelve months (up to) | $ 5.1 |  | $ 5.1 |  |

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