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REVENUE (Summary of Disaggregation of Revenue) (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Dec. 30, 2023
Dec. 31, 2022
Dec. 30, 2023
Dec. 31, 2022
Disaggregation of Revenue [Line Items]        
Net sales $ 2,084.5 $ 2,025.4 $ 3,597.7 $ 3,531.9
North America        
Disaggregation of Revenue [Line Items]        
Net sales 1,458.2 1,460.7 2,419.6 2,426.6
Greater China        
Disaggregation of Revenue [Line Items]        
Net sales 264.7 225.9 509.3 461.8
Other Asia        
Disaggregation of Revenue [Line Items]        
Net sales 248.2 238.3 454.4 438.0
Other        
Disaggregation of Revenue [Line Items]        
Net sales 113.4 100.5 214.4 205.5
Coach        
Disaggregation of Revenue [Line Items]        
Net sales 1,541.9 1,449.7 2,699.3 2,569.0
Coach | North America        
Disaggregation of Revenue [Line Items]        
Net sales 1,016.9 985.4 1,703.4 1,654.5
Coach | Greater China        
Disaggregation of Revenue [Line Items]        
Net sales 229.2 196.0 449.5 405.8
Coach | Other Asia        
Disaggregation of Revenue [Line Items]        
Net sales 209.7 200.6 384.9 368.5
Coach | Other        
Disaggregation of Revenue [Line Items]        
Net sales 86.1 67.7 161.5 140.2
Kate Spade        
Disaggregation of Revenue [Line Items]        
Net sales 460.4 490.3 763.6 812.2
Kate Spade | North America        
Disaggregation of Revenue [Line Items]        
Net sales 387.7 418.5 627.9 673.1
Kate Spade | Greater China        
Disaggregation of Revenue [Line Items]        
Net sales 11.3 9.8 22.1 20.8
Kate Spade | Other Asia        
Disaggregation of Revenue [Line Items]        
Net sales 37.6 37.4 68.2 69.0
Kate Spade | Other        
Disaggregation of Revenue [Line Items]        
Net sales 23.8 24.6 45.4 49.3
Stuart Weitzman        
Disaggregation of Revenue [Line Items]        
Net sales 82.2 85.4 134.8 150.7
Stuart Weitzman | North America        
Disaggregation of Revenue [Line Items]        
Net sales 53.6 56.8 88.3 99.0
Stuart Weitzman | Greater China        
Disaggregation of Revenue [Line Items]        
Net sales 24.2 20.1 37.7 35.2
Stuart Weitzman | Other Asia        
Disaggregation of Revenue [Line Items]        
Net sales 0.9 0.3 1.3 0.5
Stuart Weitzman | Other        
Disaggregation of Revenue [Line Items]        
Net sales $ 3.5 $ 8.2 $ 7.5 $ 16.0