SHARE-BASED COMPENSATION PLANS - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions		3 Months Ended		9 Months Ended
	Oct. 29, 2021	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022	Aug. 31, 2022	Jun. 30, 2022	Jun. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense (income)		$ 33.6	$ 28.8	$ 100.4	$ 166.8
Common stock, par value (in dollars per share)		$ 0.01		$ 0.01			$ 0.01
Series A Preferred Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized share-based compensation expense		$ 0.0		$ 0.0
Weighted-average period for unrecognized share-based compensation				0 years
Awards granted (in shares)		0		0
Common Class A
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock, par value (in dollars per share)		$ 0.01		$ 0.01
Series A-1 Preferred Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted (in shares)		0		0
Series A and A-1 Preferred Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense (income)		$ 0.6	(0.7)	$ 0.4	0.2
Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized share-based compensation expense		1.2		$ 1.2
Weighted-average period for unrecognized share-based compensation				1 year 1 month 9 days
Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized share-based compensation expense		$ 3.9		$ 3.9
Weighted-average period for unrecognized share-based compensation				2 years 25 days
Awards granted (in shares)		0.0		400,000
Share-based compensation expense (income)		$ 0.7	0.7	$ 1.9	1.2
Restricted Stock Units and Other Share Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized share-based compensation expense		$ 103.8		$ 103.8
Weighted-average period for unrecognized share-based compensation				1 year 5 months 4 days
Awards granted (in shares)		0		8,300,000
Share-based compensation expense (income)		$ 32.1	29.4	$ 97.3	166.6
Restricted Stock Units | CEO
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense (income)		23.0	22.6	70.1	146.6
Restricted Stock Units | CEO | JAB Beauty B.V
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares contributed by related party (in shares)	10,000,000
Restricted Stock Units | CEO | Share-based Payment Arrangement, Tranche One
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares to be granted for restricted stock awards (in shares)								10,000,000.0
Restricted Stock Units | CEO | Share-based Payment Arrangement, Tranche One | JAB Beauty B.V
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares contributed by related party (in shares)	10,000,000.0
Restricted Stock Units | CEO | Share-based Payment Arrangement, Tranche Two
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares to be granted for restricted stock awards (in shares)						10,000,000.0		10,000,000.0
Restricted Stock Units | CEO | Share-based Payment Arrangement, Tranche Three
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares to be granted for restricted stock awards (in shares)								10,000,000.0
Restricted Stock Units | CEO | Share-based Payment Arrangement, Tranche Three | JAB Beauty B.V
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares to be contributed by related party (in shares)	5,000,000.0
Restricted Stock Units | Common Class A | CEO | Share-based Payment Arrangement, Tranche One
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock, par value (in dollars per share)								$ 0.01
Restricted Stock Units | Common Class A | CEO | Share-based Payment Arrangement, Tranche Two
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock, par value (in dollars per share)								0.01
Restricted Stock Units | Common Class A | CEO | Share-based Payment Arrangement, Tranche Three
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock, par value (in dollars per share)								$ 0.01
Non-Qualified Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense (income)		$ 0.2	$ (0.6)	$ 0.8	$ (1.2)
Options granted (in shares)		0		0