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Share-Based Compensation Plans - Narrative (Details)
$ / shares in Units, $ in Millions
12 Months Ended
Aug. 22, 2018
shares
Feb. 28, 2022
USD ($)
plan
$ / shares
shares
Feb. 28, 2021
USD ($)
$ / shares
shares
Feb. 29, 2020
USD ($)
$ / shares
shares
Feb. 28, 2019
shares
Share-based compensation plans          
Number of expired share based compensation plans | plan   1      
Number of active share-based compensation plans | plan   2      
New grants of options (in shares)   0 0 0 0
Exercises (in shares) | $   $ 3.6 $ 2.8 $ 9.1  
Target achievement as a percentage   175.00%      
Unrecognized compensation expense | $   $ 28.8      
Weighted average period of recognition (in years)   2 years      
The 2018 Plan          
Share-based compensation plans          
Number of shares of common stock covered for issuance under share-based compensation plan (in shares) 2,000,000        
Shares issued under plan (in shares)   12,911      
Employee Stock          
Share-based compensation plans          
Shares purchased for 2018 ESPP (in shares)   23,524      
Maximum withholding percentage of employee wages or salaries for the purchase of shares of common stock 15.00%        
Purchase price for shares acquired under the plan as a percentage of the share's fair market value 85.00%        
Restricted Stock | Directors | The 2018 Plan          
Share-based compensation plans          
Shares issued under plan (in shares)   2,828      
Aggregate grant date fair value of shares issued (in dollars per share) | $   $ 0.6 $ 0.7 $ 0.6  
Grant date fair value (in dollars per share) | $ / shares   $ 226.50      
Restricted Stock Awards and Restricted Stock Units          
Share-based compensation plans          
Award vesting period   4 years      
Restricted Stock Awards and Restricted Stock Units | Specified Grading Vesting Terms          
Share-based compensation plans          
Award vesting period   3 years      
Restricted Stock Awards and Restricted Stock Units | The 2018 Plan          
Share-based compensation plans          
Grant date fair value (in dollars per share) | $ / shares   $ 218.35 $ 179.30 $ 118.76  
Fair value of awards vested | $   $ 14.3 $ 14.0 $ 10.8  
Performance Stock Awards          
Share-based compensation plans          
Performance period for PSU awards   3 years      
Target percentage for performance stock awards   100.00%      
Performance Stock Awards | The 2018 Plan          
Share-based compensation plans          
Fair value of awards vested | $   $ 29.9 $ 18.6 $ 15.0  
Market Condition Awards          
Share-based compensation plans          
Grant date fair value (in dollars per share) | $ / shares   $ 156.08      
Performance period for PSU awards   3 years      
Target achievement as a percentage   100.00%      
Market Condition Awards | Cliff Vest          
Share-based compensation plans          
Award vesting period   3 years      
Minimum | Performance Stock Awards          
Share-based compensation plans          
Target percentage for performance stock awards   0.00%      
Minimum | Market Condition Awards          
Share-based compensation plans          
Target achievement as a percentage   0.00%      
Maximum | Employee Stock          
Share-based compensation plans          
Shares purchased for 2018 ESPP (in shares) 750,000        
Maximum | Performance Stock Awards          
Share-based compensation plans          
Target percentage for performance stock awards   200.00%      
Maximum | Market Condition Awards          
Share-based compensation plans          
Target achievement as a percentage   200.00%