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Property, Plant and Equipment (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Feb. 28, 2021
Aug. 31, 2020
May 31, 2021
May 31, 2020
May 31, 2019
Property, Plant and Equipment [Line Items]          
Total at cost     $ 1,011.2 $ 996.9  
Less: Accumulated depreciation and amortization     454.3 420.0  
Property, plant and equipment, net     556.9 576.9  
Asset impairments and write downs     11.1 40.6 $ 0.9
Depreciation and amortization expense     58.3 58.3 53.3
Land, Buildings and Improvements          
Property, Plant and Equipment [Line Items]          
Proceeds from sale of assets $ 5.1 $ 12.3      
Gain (Loss) on Disposition of Property Plant Equipment 3.8 6.6      
Long-lived assets $ 1.3 $ 5.7      
Lake Mary Facility          
Property, Plant and Equipment [Line Items]          
Assets Held-for-sale, Not Part of Disposal Group     4.1    
Witney Facility          
Property, Plant and Equipment [Line Items]          
Assets Held-for-sale, Not Part of Disposal Group     2.3    
Land          
Property, Plant and Equipment [Line Items]          
Total at cost     81.4 82.5  
Building          
Property, Plant and Equipment [Line Items]          
Total at cost     244.8 246.7  
Capitalized software          
Property, Plant and Equipment [Line Items]          
Total at cost     217.9 189.5  
Furniture, fixtures and equipment          
Property, Plant and Equipment [Line Items]          
Total at cost     209.4 217.0  
Building and Leasehold improvements          
Property, Plant and Equipment [Line Items]          
Total at cost     214.4 212.2  
Asset impairments and write downs     1.5    
Construction in Progress          
Property, Plant and Equipment [Line Items]          
Total at cost     $ 43.3 49.0  
Legacy Building Improvements          
Property, Plant and Equipment [Line Items]          
Asset impairments and write downs         $ 0.9
Software          
Property, Plant and Equipment [Line Items]          
Asset impairments and write downs       $ 0.6