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Stock-Based Compensation (Narrative) (Details)
$ in Millions
3 Months Ended 6 Months Ended
Oct. 18, 2019
item
shares
Feb. 29, 2020
USD ($)
shares
Feb. 29, 2020
USD ($)
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares issued under terms of the award     270,531
Income tax benefit from exercise of stock options | $     $ 1.8
Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of tranches | item 3    
Life of awards 3 years    
Expiration date Aug. 31, 2022    
Employee Stock Purchase Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Price of common stock as a percent of the average fair market value     85.00%
Shares issued to employee stock purchase plan participants   7,293 15,427
Common Stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares withheld for tax     103,117
Shares withheld for tax, fair value | $     $ 3.6
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares withheld for tax     102,656
Shares withheld for tax, fair value | $     $ 3.6
Aggregate intrinsic value | $   $ 8.0  
Income tax benefit from exercise of stock options | $   1.8  
Restricted Stock Awards [Member] | Board of Directors [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation expense | $   $ 0.6 $ 0.6
Time-Based Award [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of tranches | item 1    
Performance-Based Award [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of tranches | item 2    
Tranche One [Member] | Time-Based Award [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percent of shares plan participants are entitled to 25.00%    
Vesting period of awards 3 years    
Shares issued under terms of the award 25,101    
Tranche Two and Three [Member] | Performance-Based Award [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percent of performance-based objectives 100.00%    
Shares issued under terms of the award 75,315    
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percent of performance award to be granted 50.00%    
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2020 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percent of performance award to be granted 200.00%    
New shares granted 150,630