Income Taxes - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2018
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]
Provision for income taxes	$ 117.0	$ 125.2	$ 133.1
Effective income tax rate	20.20%	20.60%	23.70%
Provision for income taxes at U.S. statutory rate	21.00%	21.00%	28.10%
Transition tax for accumulated foreign earnings			$ 30.8
Remeasurement of deferred tax liability			15.3
Finalized income tax benefit on accumulated foreign earnings		$ 0.5
Income tax benefit foreign source earnings (GILTI and FDII)		1.8
Excess tax benefit related to stock-based compensation awards	$ 15.6	19.3	40.9
Net charges related to Tax Act	0.0	(0.5)	15.4
Accumulated earnings attributable to foreign subsidiaries	525.4
Accumulated earnings attributable to foreign subsidiaries, permanently reinvested outside of the United States	265.0
Accumulated earnings attributable to foreign subsidiaries, not permanently reinvested outside of the United States	260.4
Unremitted earnings	9.5	12.2
Deferred tax asset valuation allowances	6.7	3.3
Reserve for unrecognized tad positions	33.8	33.4	19.4
Gross decrease for prior period tax positions	9.5	2.6	2.4
Accrued interest and penalties related to uncertain tax positions	0.1	(0.1)	0.5
Total liability recognized	3.6	$ 3.6	$ 3.7
Foreign
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]
Unremitted earnings	8.9
Net operating loss carryforwards	13.1
Foreign net operating loss carryforwards subject to expiration	1.5
Foreign net operating loss carryforwards not subject to expiration	11.6
State and Local
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]
Unremitted earnings	0.6
Domestic
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items]
Net operating loss carryforwards	37.0
Foreign net operating loss carryforwards subject to expiration	16.9
Foreign net operating loss carryforwards not subject to expiration	$ 20.2