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Deferred Client Conversion and Start-Up Costs - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2024
Dec. 31, 2023
Jun. 30, 2024
Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Abstract]          
Deferred client conversion and start-up costs $ 863.8   $ 863.8   $ 892.1
Deferred client conversion and start-up costs 856.9   856.9   884.5
Other start-up costs 6.8   6.8   $ 7.6
Amortization of deferred sales commissions costs $ 38.1 $ 32.2 $ 74.7 $ 64.4