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Stock-Based Compensation - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Share-based Payment Arrangement [Abstract]        
Stock-based compensation expense $ 18.5 $ 17.6 $ 54.8 $ 46.4
Related tax benefits 4.2 $ 3.9 12.4 $ 10.2
Unrecognized compensation cost related to non-vested stock options 17.4   17.4  
Unrecognized compensation cost related to restricted stock unit awards $ 71.2   $ 71.2  
Amortization period of unrecognized compensation cost for non-vested stock options     2 years 1 month 6 days  
Amortization period of unrecognized compensation cost for restricted stock awards     1 year 8 months 12 days