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Acquisitions - Aggregate Purchase Price and Fair Value Allocations (Details) - USD ($)
$ in Thousands
May 31, 2019
May 31, 2018
May 31, 2017
Business Acquisition [Line Items]      
Net goodwill recognized $ 2,842,441 $ 2,846,888 $ 2,782,335
Series of Individually Immaterial Business Acquisitions      
Business Acquisition [Line Items]      
Fair value of tangible assets acquired 840 421  
Net goodwill recognized 6,637 12,094  
Total fair value of assets acquired 16,576 22,678  
Fair value of liabilities assumed 6,763 3,332  
Total cash paid for acquisitions, net of cash acquired 9,813 19,346  
Series of Individually Immaterial Business Acquisitions | Service contracts      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired 8,064 9,271  
Series of Individually Immaterial Business Acquisitions | Other intangibles      
Business Acquisition [Line Items]      
Fair value of intangible assets acquired $ 1,035 $ 892