SEGMENT REPORTING - Reportable Segments, Product Categories Exceeding 10% of Consolidated Net Revenues (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2018
Segment Reporting Information [Line Items]
Net revenues	$ 4,717.8	$ 6,287.9	$ 6,841.8
Product Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Percentage of consolidated revenues	100.00%	100.00%	100.00%
U.S. | Geographic Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Net revenues	$ 1,159.3	$ 1,470.5	$ 1,595.4
Fragrances | Product Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Percentage of consolidated revenues	55.50%	54.40%	50.60%
Color Cosmetics | Product Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Percentage of consolidated revenues	31.10%	32.20%	35.30%
Skin & Body Care | Product Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Percentage of consolidated revenues	13.00%	13.00%	13.80%
Hair Care | Product Concentration Risk | Sales Revenue
Segment Reporting Information [Line Items]
Percentage of consolidated revenues	0.40%	0.40%	0.30%