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Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
May 31, 2021
Feb. 28, 2021
Nov. 30, 2020
Aug. 31, 2020
May 31, 2020
Feb. 29, 2020
Nov. 30, 2019
Aug. 31, 2019
May 31, 2021
May 31, 2020
May 31, 2019
Segment Reporting Information [Line Items]                      
Product revenues to external customers $ 127,425 $ 116,709 $ 115,000 $ 109,325 $ 109,074 $ 99,869 $ 107,803 $ 101,424 $ 468,459 $ 418,170 $ 414,186
Operating income (loss)                 74,169 67,523 68,094
Depreciation and amortization                 21,041 18,396 17,624
Total Assets 920,192       797,182       920,192 797,182 695,740
Expenditures for long-lived assets                 26,712 24,052 14,661
Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 234,244 212,691 213,474
Operating income (loss)                 33,725 33,526 39,020
Depreciation and amortization                 11,575 10,173 9,525
Total Assets 295,065       222,331       295,065 222,331 206,267
Expenditures for long-lived assets                 13,730 15,867 8,916
Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 234,215 205,479 200,712
Operating income (loss)                 48,685 39,051 33,875
Depreciation and amortization                 9,466 8,223 8,099
Total Assets 244,039       231,178       244,039 231,178 221,950
Expenditures for long-lived assets                 12,982 8,185 5,745
Product Revenues                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 376,302 335,539 339,439
Product Revenues | Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 209,104 189,893 190,675
Product Revenues | Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 167,198 145,646 148,764
Service Revenues                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 92,157 82,631 74,747
Service Revenues | Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 25,140 22,798 22,799
Service Revenues | Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 67,017 59,833 51,948
Corporate and Eliminations | Operating Segments                      
Segment Reporting Information [Line Items]                      
Operating income (loss) [1]                 (8,241) (5,054) (4,801)
Total Assets [1] $ 381,088       $ 343,673       $ 381,088 $ 343,673 $ 267,523
[1] Includes corporate assets, including 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 and non-controlling interests.