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Goodwill, Service Contracts and Other Assets - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
May 31, 2018 | May 31, 2017 | May 31, 2016
Finite-Lived Intangible Assets [Line Items] |  |  |
Goodwill | $ 2,846,888 | $ 2,782,335 | $ 1,276,076
Service contracts |  |  |
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Weighted average amortization period | 12 years 9 months 18 days |  |
Noncompete and consulting agreements |  |  |
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Weighted average amortization period | 5 years |  |
Consulting Agreements and Other |  |  |
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Weighted average amortization period | 4 years |  |
Continuing Operations |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization of intangible assets | $ 61,200 | 22,800 | $ 14,200
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Estimated amortization expense, year one | 62,500 |  |
Estimated amortization expense, year two | 61,100 |  |
Estimated amortization expense, year three | 55,200 |  |
Estimated amortization expense, year four | 53,200 |  |
Estimated amortization expense, year five | 44,900 |  |
Estimated amortization expense, thereafter | $ 283,400 |  |
Discontinued Operations, Held-for-sale |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Goodwill |  | $ 15,500 |

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