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Segment Information and Geographic Data - Schedule of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
May 31, 2022
Segment Reporting Information [Line Items]          
Product revenues to external customers $ 218,255 $ 128,244 $ 580,637 $ 387,066  
Operating income (loss) 15,684 6,377 14,090 40,591  
Total Assets 4,508,764 981,205 4,508,764 981,205 $ 992,929
Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 151,542 62,756 377,528 192,610  
Operating income (loss) 11,011 8,191 41,053 29,216  
Total Assets 3,975,921 302,605 3,975,921 302,605  
Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 66,713 65,488 203,109 194,456  
Operating income (loss) 10,752 10,783 35,439 36,246  
Total Assets 349,628 298,854 349,628 298,854  
Product Revenues          
Segment Reporting Information [Line Items]          
Product revenues to external customers 190,688 101,566 500,797 311,701  
Product Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 144,843 55,372 356,856 171,440  
Product Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 45,845 46,194 143,941 140,261  
Service Revenues          
Segment Reporting Information [Line Items]          
Product revenues to external customers 27,567 26,678 79,840 75,365  
Service Revenues | Operating Segments | Food Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 6,699 7,384 20,672 21,170  
Service Revenues | Operating Segments | Animal Safety          
Segment Reporting Information [Line Items]          
Product revenues to external customers 20,868 19,294 59,168 54,195  
Corporate and Eliminations | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers  
Operating income (loss) (6,079) (12,597) (62,402) (24,871)  
Total Assets 183,215 379,746 183,215 379,746  
Corporate and Eliminations | Product Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers  
Corporate and Eliminations | Service Revenues | Operating Segments          
Segment Reporting Information [Line Items]          
Product revenues to external customers