Summary of Significant Accounting Policies (Details) - USD ($) $ in Millions	12 Months Ended
Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2022
Property, Plant and Equipment [Line Items]
Allowance for expected credit losses	$ 6.1	$ 7.0
Changes in the fair value of interest rate swap agreements	2.5	(6.1)	$ (11.8)
Accumulated other comprehensive loss related to foreign currency translation adjustments	(37.4)	(37.0)	(45.3)
Accumulated other comprehensive gain (loss) related to fair value of interest rate swaps	23.4	30.9	13.1
Accumulated other comprehensive gain (loss) related to unrecognized post-retirement plan costs	$ 1.3	$ 1.1	$ 1.1
Minimum
Property, Plant and Equipment [Line Items]
Finite-lived intangible asset, useful life	1 year
Minimum \| Equipment and furniture
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life	3 years
Maximum
Property, Plant and Equipment [Line Items]
Finite-lived intangible asset, useful life	20 years
Maximum \| Equipment and furniture
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life	8 years

Amount, after tax, of accumulated other comprehensive (income) loss for defined benefit plan, that has not been recognized in net periodic benefit cost (credit).

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