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Segment Information and Geographic Data - Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Nov. 30, 2024
Nov. 30, 2023
Nov. 30, 2024
Nov. 30, 2023
May 31, 2024
Segment Reporting Information [Line Items]          
Total revenues to external customers $ 231,258 $ 229,629 $ 448,222 $ 458,616  
Operating (loss) income (457,484) 14,465 (455,227) 33,600  
Total Assets 4,054,092 4,602,415 4,054,092 4,602,415 $ 4,548,833
Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 164,238 164,403 323,583 330,681  
Operating (loss) income (436,798) 24,329 (418,893) 46,570  
Total Assets 3,575,728 4,029,108 3,575,728 4,029,108  
Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 67,020 65,226 124,639 127,935  
Operating (loss) income (362) 7,739 2,227 16,095  
Total Assets 338,133 341,919 338,133 341,919  
Product Revenues          
Segment Reporting Information [Line Items]          
Total revenues to external customers 207,549 203,869 400,067 408,270  
Product Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 156,949 156,317 307,726 315,264  
Product Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 50,600 47,552 92,341 93,006  
Service Revenues          
Segment Reporting Information [Line Items]          
Total revenues to external customers 23,709 25,760 48,155 50,346  
Service Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 7,289 8,086 15,857 15,417  
Service Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 16,420 17,674 32,298 34,929  
Corporate and Eliminations | Operating Segments          
Segment Reporting Information [Line Items]          
Total revenues to external customers [1] 0 0 0 0  
Operating (loss) income [1] (20,324) (17,603) (38,561) (29,065)  
Total Assets [1] 140,231 231,388 140,231 231,388  
Corporate and Eliminations | Product Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Total revenues to external customers [1] 0 0 0 0  
Corporate and Eliminations | Service Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Total revenues to external customers [1] $ 0 $ 0 $ 0 $ 0  
[1] intersegment transactions.