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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period $ 1,427,100 $ 860,500 $ 652,400
Net current period other comprehensive income 12,000 (42,000) 68,900
Balance at end of period 1,432,600 1,427,100 860,500
Cumulative Translation Adjustments      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period (93,900) (3,900) (56,000)
Other comprehensive (loss) before reclassifications (20,100) (90,000) 52,100
Balance at end of period (114,000) (93,900) (3,900)
Pension and Other Post-Retirement Benefit Plans      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period (36,900) (50,400) (59,200)
Other comprehensive (loss) before reclassifications 14,800 13,500 5,300
Reclassification from accumulated other comprehensive income - Other, net 2,700 4,400 5,500
Tax expense (4,400) (4,400) (2,000)
Net reclassifications (1,700) 0 3,500
Net current period other comprehensive income 13,100 13,500 8,800
Balance at end of period (23,800) (36,900) (50,400)
Other comprehensive income (loss) before reclassifications, tax (3,500) (20) (30)
Interest Rate Swap Agreement      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period 23,700 (10,800) (18,900)
Other comprehensive (loss) before reclassifications 4,700 41,400 12,600
Reclassification from accumulated other comprehensive income - Other, net 14,300 (6,900) (4,500)
Net reclassifications 14,300 (6,900) (4,500)
Net current period other comprehensive income 19,000 34,500 8,100
Balance at end of period 42,700 23,700 (10,800)
Other comprehensive income (loss) before reclassifications, tax (6,200) (11,600) (2,600)
Unrealized Gains on Securities      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period 0 0 100
Other comprehensive (loss) before reclassifications 0 0 (100)
Balance at end of period 0 0 0
Accumulated Other Comprehensive (Loss) Income      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Balance at beginning of period (107,100) (65,100) (134,000)
Net current period other comprehensive income 12,000 (42,000) 68,900
Balance at end of period $ (95,100) $ (107,100) $ (65,100)