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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Dec. 01, 2018
Sep. 01, 2018
Dec. 02, 2017
Sep. 02, 2017
Dec. 01, 2018
Dec. 02, 2017
Sep. 02, 2018
Jun. 03, 2018
Sep. 03, 2017
Jun. 04, 2017
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period $ 673.3 $ 664.8 $ 608.6 $ 587.7 $ 664.8 $ 587.7        
Cumulative effect of accounting change               $ 1.9 $ (0.1) $ (0.1)
Other comprehensive income (loss) (3.1) (7.8) 3.5 3.6 (10.9) 7.1        
Balance at end of period 685.5 673.3 630.8 608.6 685.5 630.8        
Cumulative Translation Adjustments                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period   (34.1)   (36.8) (34.1) (36.8)        
Cumulative effect of accounting change               0.0    
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax         (12.4) 4.5        
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax         0.0 0.0        
Tax benefit         0.0 0.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax         0.0 0.0        
Other comprehensive income (loss)         (12.4) 4.5        
Balance at end of period (46.5)   (32.3)   (46.5) (32.3)        
Pension and Other Post-retirement Benefit Plans                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period   (37.2)   (47.6) (37.2) (47.6)        
Cumulative effect of accounting change               0.0    
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax         0.0 0.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax         1.3 2.1        
Tax benefit         (0.2) (0.5)        
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax         1.1 1.6        
Other comprehensive income (loss)         1.1 1.6        
Balance at end of period (36.1)   (46.0)   (36.1) (46.0)        
Unrealized Gains on Available-for-sale Securities                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period   0.1   0.1 0.1 0.1        
Cumulative effect of accounting change               (0.1)    
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax         (0.1) 0.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax         0.0 0.0        
Tax benefit         0.0 0.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax         0.0 0.0        
Other comprehensive income (loss)         (0.1) 0.0        
Balance at end of period (0.1)   0.1   (0.1) 0.1        
Interest Rate Swap Agreement                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period   9.9   2.1 9.9 2.1        
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax         0.5 1.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax         0.0 0.0        
Tax benefit         0.0 0.0        
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax         0.0 0.0        
Other comprehensive income (loss)         0.5 1.0        
Balance at end of period 11.9   3.1   11.9 3.1        
Accumulated Other Comprehensive Loss                    
Accumulated Other Comprehensive Income (Loss)                    
Balance at beginning of period (69.2) (61.3) (78.6) (82.2) (61.3) (82.2)        
Cumulative effect of accounting change 1.4       1.4   $ 1.5 $ (0.1)    
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax         (12.0) 5.5        
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax         1.3 2.1        
Tax benefit         (0.2) (0.5)        
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax         1.1 1.6        
Other comprehensive income (loss) (3.1) (7.8) 3.5 3.6 (10.9) 7.1        
Balance at end of period $ (70.8) $ (69.2) $ (75.1) $ (78.6) $ (70.8) $ (75.1)        
Reclassification out of Accumulated Other Comprehensive Income [Domain] | Interest Rate Swap Agreement                    
Accumulated Other Comprehensive Income (Loss)                    
Cumulative effect of accounting change             $ 1.5