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Segment Information and Geographic Data - Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
May 31, 2024
Segment Reporting Information [Line Items]          
Total revenues to external customers $ 220,980 $ 228,812 $ 669,202 $ 687,428  
Operating (loss) income 5,415 12,023 (449,812) 45,623  
Total Assets 4,036,336 4,582,492 4,036,336 4,582,492 $ 4,548,833
Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 152,731 157,754 476,314 488,435  
Operating (loss) income 19,315 15,915 (399,578) 62,485  
Total Assets 3,566,450 4,071,831 3,566,450 4,071,831  
Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 68,249 71,058 192,888 198,993  
Operating (loss) income 6,750 14,781 8,977 30,876  
Total Assets 342,181 344,205 342,181 344,205  
Product Revenues          
Segment Reporting Information [Line Items]          
Total revenues to external customers 196,488 202,178 596,555 610,448  
Product Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 145,248 149,709 452,974 464,973  
Product Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 51,240 52,469 143,581 145,475  
Service Revenues          
Segment Reporting Information [Line Items]          
Total revenues to external customers 24,492 26,634 72,647 76,980  
Service Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 7,483 8,045 23,340 23,462  
Service Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Total revenues to external customers 17,009 18,589 49,307 53,518  
Corporate and Eliminations | Operating Segments          
Segment Reporting Information [Line Items]          
Total revenues to external customers [1] 0 0 0 0  
Operating (loss) income [1] (20,650) (18,673) (59,211) (47,738)  
Total Assets [1] 127,705 166,456 127,705 166,456  
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.