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Goodwill, Service Contracts and Other Assets - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
May 31, 2017
May 31, 2016
May 31, 2015
Finite-Lived Intangible Assets [Line Items]      
Goodwill $ 2,782,335 $ 1,276,076 $ 1,180,094
Continuing Operations      
Finite-Lived Intangible Assets [Line Items]      
Amortization of intangible assets 22,800 14,200 $ 12,100
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]      
Estimated amortization expense, year one 60,000    
Estimated amortization expense, year two 60,100    
Estimated amortization expense, year three 59,500    
Estimated amortization expense, year four 53,700    
Estimated amortization expense, year five 53,100    
Discontinued Operations, Held-for-sale      
Finite-Lived Intangible Assets [Line Items]      
Goodwill $ 15,500 $ 15,500