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Stock-Based Compensation (Details) - USD ($)
shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Nov. 30, 2021
Nov. 30, 2020
Sep. 21, 2021
Stock-Based Compensation (Details) - Schedule of stock-based compensation [Line Items]          
Stock-based compensation expense $ 3.0 $ 3.0 $ 4.5 $ 3.6  
Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued in Period 200 100 300 100  
Stock option expense          
Stock-Based Compensation (Details) - Schedule of stock-based compensation [Line Items]          
Stock-based compensation expense $ 1.8 $ 2.5 $ 2.5 $ 2.8  
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         2,500
Restricted stock unit expense          
Stock-Based Compensation (Details) - Schedule of stock-based compensation [Line Items]          
Stock-based compensation expense 0.9 0.5 1.6 0.7  
Management stock purchase plan          
Stock-Based Compensation (Details) - Schedule of stock-based compensation [Line Items]          
Stock-based compensation expense 0.3 0.0 0.3 0.0  
Employee stock purchase plan          
Stock-Based Compensation (Details) - Schedule of stock-based compensation [Line Items]          
Stock-based compensation expense $ 0.0 $ 0.0 $ 0.1 $ 0.1