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Calculation of Net Income Per Share (Detail) - USD ($)
$ / shares in Units, shares in Thousands, $ 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
Earnings Per Share [Line Items]                      
Numerator for basic and diluted net income per share - Net income attributable to Neogen                 $ 59,475 $ 60,176 $ 63,145
Denominator for basic net income per share - Weighted average shares                 52,550 51,888 51,358
Effect of dilutive stock options                 310 537 791
Denominator for diluted net income per share                 52,860 52,425 52,149
Net income attributable to Neogen per share:                      
Basic $ 0.31 $ 0.23 $ 0.31 $ 0.28 $ 0.31 $ 0.25 $ 0.31 $ 0.29 $ 1.13 $ 1.16 $ 1.23
Diluted $ 0.31 $ 0.23 $ 0.31 $ 0.28 $ 0.30 $ 0.25 $ 0.31 $ 0.29 $ 1.13 $ 1.15 $ 1.21