SEGMENT REPORTING - Schedule of reportable segments (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2024	Dec. 31, 2023
Segment Reporting Information [Line Items]
Net revenues	$ 1,669.9	$ 1,727.6	$ 3,341.4	$ 3,369.0
Operating income (loss)	268.2	236.7	506.0	434.2
Interest expense, net	54.4	60.1	116.2	129.9
Other expense (income), net	157.2	(80.8)	200.5	(4.2)
Income before income taxes	56.6	257.4	189.3	308.5
Operating Segments | Prestige
Segment Reporting Information [Line Items]
Net revenues	1,116.1	1,122.6	2,230.2	2,187.3
Operating income (loss)	222.3	200.6	463.8	422.2
Operating Segments | Consumer Beauty
Segment Reporting Information [Line Items]
Net revenues	553.8	605.0	1,111.2	1,181.7
Operating income (loss)	64.1	60.4	78.1	92.4
Operating Segments | Corporate
Segment Reporting Information [Line Items]
Operating income (loss)	$ (18.2)	$ (24.3)	$ (35.9)	$ (80.4)