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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 29, 2020
Nov. 30, 2019
Aug. 31, 2019
Mar. 02, 2019
Dec. 01, 2018
Sep. 01, 2018
Feb. 29, 2020
Mar. 02, 2019
Sep. 02, 2018
Jun. 03, 2018
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period $ 844.6 $ 745.3 $ 719.2 $ 685.4 $ 673.2 $ 664.8 $ 719.2 $ 664.8    
Cumulative effect of accounting change                 $ 0.0 $ 1.9
Foreign currency translation adjustments (1.9)     8.0     2.5 (4.4)    
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax 0.0     0.1     0.0 0.0    
Net current period other comprehensive income (loss) (7.8) 17.8 (17.3) 4.3 (3.1) (7.8) (7.3) (6.6)    
Balance at end of period 836.8 844.6 745.3 714.9 685.4 673.2 836.8 714.9    
Cumulative Translation Adjustments                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period     (48.3)     (34.1) (48.3) (34.1)    
Reclassification from accumulated other comprehensive loss - Other, net             0.0 0.0    
Tax benefit             0.0 0.0    
Net reclassifications             0.0 0.0    
Net current period other comprehensive income (loss)             2.5 (4.4)    
Balance at end of period (45.8)     (38.5)     (45.8) (38.5)    
Pension and Other Post-retirement Benefit Plans                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period     (45.0)     (37.2) (45.0) (37.2)    
Other comprehensive income (loss), net of tax before reclassifications             0.0 0.0    
Reclassification from accumulated other comprehensive loss - Other, net             2.5 2.0    
Tax benefit             (0.4) (0.3)    
Net reclassifications             2.1 1.7    
Net current period other comprehensive income (loss)             2.1 1.7    
Balance at end of period (42.9)     (35.5)     (42.9) (35.5)    
Unrealized Gains on Available-for-sale Securities                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period     0.0     0.1 0.0 0.1    
Cumulative effect of accounting change                   (0.1)
Reclassification from accumulated other comprehensive loss - Other, net             0.0 0.0    
Tax benefit             0.0 0.0    
Net reclassifications             0.0 0.0    
Net current period other comprehensive income (loss)             0.0 0.0    
Balance at end of period 0.0     0.0     0.0 0.0    
Interest Rate Swap Agreement                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period     (0.9)     9.9 (0.9) 9.9    
Cumulative effect of accounting change                 1.5  
Other comprehensive income (loss), net of tax before reclassifications             (12.0) (4.2)    
Reclassification from accumulated other comprehensive loss - Other, net             0.1 0.3    
Tax benefit             0.0 0.0    
Net reclassifications             0.1 0.3    
Net current period other comprehensive income (loss)             (11.9) (3.9)    
Balance at end of period (12.8)     7.5     (12.8) 7.5    
Accumulated Other Comprehensive Loss                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period (93.7) (111.5) (94.2) (70.8) (69.2) (61.3) (94.2) (61.3)    
Cumulative effect of accounting change       1.4       1.4 $ 1.5 $ (0.1)
Other comprehensive income (loss), net of tax before reclassifications             (9.5) (8.6)    
Reclassification from accumulated other comprehensive loss - Other, net             2.6 2.3    
Tax benefit             (0.4) (0.3)    
Net reclassifications             2.2 2.0    
Net current period other comprehensive income (loss) (7.8) 17.8 (17.3) 4.3 (3.1) (7.8) (7.3) (6.6)    
Balance at end of period $ (101.5) $ (93.7) $ (111.5) $ (66.5) $ (70.8) $ (69.2) $ (101.5) $ (66.5)