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Stock-Based Compensation - Additional Information (Details) - USD ($)
shares in Millions, $ in Millions
12 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation cost related to non-vested stock options $ 12.5    
Unrecognized compensation cost of restricted stock awards $ 54.4    
Amortization period of unrecognized compensation cost 1 year 9 months 18 days    
Amortization period of unrecognized compensation cost for restricted stock awards 1 year 7 months 6 days    
Repurchase of common stock shares (in shares) 0.1 0.6 3.5
Segment, Continuing Operations      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 58.6 $ 60.8 $ 58.4
Related tax benefits $ 13.0 $ 13.5 $ 13.5
Opportunistic Buy-Backs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Repurchase of common stock shares (in shares)   0.4  
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period of cost recognition 12 months    
Stock Options | Graded Vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options vesting period 4 years    
Stock options expiration period 10 years    
Stock Options | Cliff Vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options vesting period 4 years    
Stock option term 10 years    
Stock Options | Cliff Vesting - Year One      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option award vesting percentage 25.00%    
Stock Options | Cliff Vesting - Year Two      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option award vesting percentage 25.00%    
Stock Options | Cliff Vesting - Year Three      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option award vesting percentage 25.00%    
Stock Options | Cliff Vesting - Year Four      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option award vesting percentage 25.00%    
Time-based RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options vesting period 2 years 6 months    
Stock conversion ratio 1    
Performance-based RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options vesting period 2 years 6 months    
Stock conversion ratio 1