EQUITY AND CONVERTIBLE PREFERRED STOCK - Common Stock (Details) $ / shares in Units, $ in Millions		12 Months Ended
	Apr. 30, 2019 $ / shares shares	Jun. 30, 2020 USD ($) vote $ / shares shares	Jun. 30, 2019 USD ($) $ / shares shares	Jun. 30, 2018 USD ($) shares
Class of Stock [Line Items]
Common stock, par value (in dollars per share) | $ / shares		$ 0.01	$ 0.01
Common stock, shares authorized (shares)		1,250,000,000.0	1,000,000,000.0
Common stock, shares outstanding (shares)		765,100,000	754,200,000
Exercise of employee stock options and restricted stock units and related tax benefits | $		$ 2.7	$ 5.2	$ 22.6
Restricted stock awards granted (in shares)		2,300,000
Shares withheld for employee taxes (in shares)		300,000
Trading restriction term		1 year
Vesting period		3 years
Number of shares purchased (in shares)	150,000,000.0
Common Class A
Class of Stock [Line Items]
Common stock, par value (in dollars per share) | $ / shares		$ 0.01
Voting rights per share | vote		1
Common stock, shares authorized (shares)		1,250,000,000.0
Common stock, shares outstanding (shares)		765,100,000
Restricted stock awards, net of shares withheld for employee taxes (in shares)		2,000,000.0
Common Class A | Tranche One
Class of Stock [Line Items]
Restricted stock awards, net of shares withheld for employee taxes (in shares)		600,000
Common Class A | Tranche Two
Class of Stock [Line Items]
Restricted stock awards, net of shares withheld for employee taxes (in shares)		1,400,000
Platinum | Common Class A
Class of Stock [Line Items]
Shares issued (shares)		1,400,000	1,000,000.0	2,900,000
Employee Stock Options, Restricted Stock Units (RSUs) And Employee Stock Ownership Program | Platinum
Class of Stock [Line Items]
Exercise of employee stock options and restricted stock units and related tax benefits | $		$ 2.7	$ 5.2	$ 22.6
Majority Shareholders | JAB Cosmetics B.V. | Common Class A
Class of Stock [Line Items]
Open market shares acquired by related party (in shares)		10,600,000	10,800,000	14,900,000
JAB Cosmetics B.V. | Common Class A
Class of Stock [Line Items]
Shares issued under dividend reinvestment program (in shares)		7,300,000
Shares purchased, price per share (in dollars per share) | $ / shares	$ 11.65
JAB Cosmetics B.V. | Common Class A | Coty Inc.
Class of Stock [Line Items]
Percentage of redeemable noncontrolling interest	60.00%
JAB Cosmetics B.V. | Common Class A | Chief Executive Officer
Class of Stock [Line Items]
Open market shares acquired by related party (in shares)		3,300,000