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Income Taxes (Schedule of changes in total gross unrecognized tax benefit liabilities, excluding accrued interest) (Details) - USD ($)
$ in Millions
12 Months Ended
May 30, 2021
May 31, 2020
Changes in total gross unrecognized tax benefit liabilities [Roll Forward]    
Balance, beginning of year $ 147.9 $ 139.1
Tax positions related to current year: Additions 20.1 18.7
Tax positions related to prior years: Additions 6.3 2.3
Tax positions related to prior years: Reductions (7.2) (6.0)
Tax positions related to prior years: Settlements (2.1) (2.9)
Lapses in statutes of limitations (19.7) (3.3)
Balance, end of year $ 145.3 $ 147.9