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Segment Information and Geographic Data - Schedule of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Nov. 30, 2022
Nov. 30, 2021
Nov. 30, 2022
Nov. 30, 2021
May 31, 2022
Segment Reporting Information [Line Items]          
Product revenues to external customers $ 230,033 $ 130,517 $ 362,382 $ 258,822  
Operating income (loss) (7,656) 12,469 (1,594) 34,214  
Total Assets 4,563,242 967,934 4,563,242 967,934 $ 992,929
Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 161,343 67,132 225,986 129,854  
Operating income (loss) 21,446 10,894 30,042 21,026  
Total Assets 3,955,488 298,437 3,955,488 298,437  
Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 68,690 63,385 136,396 128,968  
Operating income (loss) 12,806 12,701 24,687 25,463  
Total Assets 329,177 278,994 329,177 278,994  
Product Revenues          
Segment Reporting Information [Line Items]          
Product revenues to external customers 203,317 106,111 310,109 210,124  
Product Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 154,223 60,112 212,013 116,057  
Product Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 49,094 45,999 98,096 94,067  
Service Revenues          
Segment Reporting Information [Line Items]          
Product revenues to external customers 26,716 24,406 52,273 48,698  
Service Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 7,120 7,020 13,973 13,797  
Service Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 19,596 17,386 38,300 34,901  
Corporate and Eliminations | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers 0 [1]   0 [2]    
Operating income (loss) (41,908) [1] (11,126) [1] (56,323) [2] (12,275) [2]  
Total Assets [1] 278,577 $ 390,503 278,577 $ 390,503  
Corporate and Eliminations | Product Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers 0 [1]   0 [2]    
Corporate and Eliminations | Service Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers $ 0 [1]   $ 0 [2]    
[1] Includes corporate assets, consisting principally of cash and cash equivalents, marketable securities, current and deferred tax accounts and overhead expenses not allocated to specific business segments. Also includes the elimination of intersegment transactions.
[2] Includes elimination of intersegment transactions.