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Goodwill, Service Contracts and Other Assets - Estimated Future Amortization Expense (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Goodwill, Service Contracts And Other Assets [Abstract]        
Amortization expense for service contracts and other assets $ 38,000 $ 35,600 $ 111,400 $ 106,000
2022 (remaining three months) 36,700   36,700  
2023 134,129   134,129  
2024 121,678   121,678  
2025 107,037   107,037  
2026 89,415   89,415  
Thereafter 237,557   237,557  
Total future amortization expense $ 726,516   $ 726,516