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SHARE-BASED COMPENSATION PLANS - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Sep. 01, 2027
Sep. 01, 2026
Sep. 01, 2025
Oct. 02, 2024
Sep. 28, 2023
May 04, 2023
Sep. 30, 2025
Sep. 30, 2024
Jun. 30, 2025
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Share-based compensation expense (income)             $ 14.5 $ 17.0  
Common stock, par value (in dollars per share)             $ 0.01   $ 0.01
Common Class A                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Common stock, par value (in dollars per share)             $ 0.01    
Series A Preferred Stock                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Awards granted (in shares)             0 0  
Share-based compensation expense (income)             $ 0.0    
Share-based Payment Arrangement, Option                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Total unrecognized share-based compensation expense             $ 0.0    
Weighted-average period for unrecognized share-based compensation             0 years    
Restricted Stock Units and Other Share Awards                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Total unrecognized share-based compensation expense             $ 91.2    
Weighted-average period for unrecognized share-based compensation             2 years 7 months 9 days    
Awards granted (in shares)             0 0  
Share-based compensation expense (income)             $ 13.4 $ 13.2  
Restricted Stock Units and Other Share Awards | CEO                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Share-based compensation expense (income)             6.1 $ 5.2  
Performance Restricted Stock Units                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Total unrecognized share-based compensation expense             $ 3.3    
Weighted-average period for unrecognized share-based compensation             1 year 6 months 21 days    
Awards granted (in shares)             0 100,000  
Share-based compensation expense (income)             $ 1.1 $ 3.7  
Performance Restricted Stock Units | CEO                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Share-based compensation expense (income)             0.3 1.8  
Shares to be granted for restricted stock awards (in shares)           10,416,665      
Award vesting period           5 years      
Performance 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)         2,083,333        
Award vesting rights percentage           20.00%      
Performance objectives term         3 years        
Performance 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)       2,083,333          
Award vesting rights percentage           20.00%      
Performance objectives term       3 years          
Performance 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)     2,083,333            
Award vesting rights percentage           20.00%      
Performance objectives term     3 years            
Performance Restricted Stock Units | CEO | Share Based Payment Arrangement Tranche Four                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           20.00%      
Performance Restricted Stock Units | CEO | Share Based Payment Arrangement Tranche Four | Forecast                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares to be granted for restricted stock awards (in shares)   2,083,333              
Performance objectives term   3 years              
Performance Restricted Stock Units | CEO | Share Based Payment Arrangement Tranche Five                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           20.00%      
Performance Restricted Stock Units | CEO | Share Based Payment Arrangement Tranche Five | Forecast                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares to be granted for restricted stock awards (in shares) 2,083,333                
Performance objectives term 3 years                
RSUs | CEO                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares to be granted for restricted stock awards (in shares)           10,416,667      
RSUs | CEO | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Total unrecognized share-based compensation expense           $ 109.6      
Shares to be granted for restricted stock awards (in shares)           10,416,667      
Award vesting period           5 years      
RSUs | CEO | Common Class A | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Common stock, par value (in dollars per share)           $ 0.01      
RSUs | CEO | Share-based Payment Arrangement, Tranche One | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           15.00%      
RSUs | CEO | Share-based Payment Arrangement, Tranche Two | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           15.00%      
RSUs | CEO | Share-based Payment Arrangement, Tranche Three | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           20.00%      
RSUs | CEO | Share Based Payment Arrangement Tranche Four | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           20.00%      
RSUs | CEO | Share Based Payment Arrangement Tranche Five | Second Restricted Stock Units Award                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting rights percentage           30.00%      
Restricted Stock Units and Performance Restricted Stock Units | CEO                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting period           7 years      
Restricted Stock                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Share-based compensation expense (income)             0.0    
Non-Qualified Options                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Share-based compensation expense (income)             $ 0.0 $ 0.0  
Options granted (in shares)             0 0