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Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
May 31, 2020
Feb. 29, 2020
Nov. 30, 2019
Aug. 31, 2019
May 31, 2019
Feb. 28, 2019
Nov. 30, 2018
Aug. 31, 2018
May 31, 2020
May 31, 2019
May 31, 2018
Segment Reporting Information [Line Items]                      
Product revenues to external customers $ 109,074 $ 99,869 $ 107,803 $ 101,424 $ 109,762 $ 97,700 $ 107,098 $ 99,626 $ 418,170 $ 414,186 $ 397,930
Operating income (loss)                 67,523 68,094 70,194
Depreciation and amortization                 18,396 17,624 17,058
Total Assets 797,182       695,740       797,182 695,740 618,009
Expenditures for long-lived assets                 24,052 14,661 20,946
Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 212,691 213,474 194,477
Operating income (loss)                 33,526 39,020 34,561
Depreciation and amortization                 10,173 9,525 9,083
Total Assets 222,331       206,267       222,331 206,267 186,570
Expenditures for long-lived assets                 15,867 8,916 10,538
Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 205,479 200,712 203,453
Operating income (loss)                 39,051 33,875 39,529
Depreciation and amortization                 8,223 8,099 7,975
Total Assets 231,178       221,950       231,178 221,950 220,629
Expenditures for long-lived assets                 8,185 5,745 10,408
Product Revenues                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 335,539 339,439 331,288
Product Revenues | Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 189,893 190,675 174,553
Product Revenues | Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 145,646 148,764 156,735
Service Revenues                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 82,631 74,747 66,642
Service Revenues | Operating Segments | Food Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 22,798 22,799 19,924
Service Revenues | Operating Segments | Animal Safety                      
Segment Reporting Information [Line Items]                      
Product revenues to external customers                 59,833 51,948 46,718
Corporate and Eliminations | Operating Segments                      
Segment Reporting Information [Line Items]                      
Operating income (loss) [1]                 (5,054) (4,801) (3,896)
Total Assets [1] $ 343,673       $ 267,523       $ 343,673 $ 267,523 $ 210,810
[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.