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SEGMENT INFORMATION - Net Sales by Geographic Area (Details) - SBH and SBRH - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales $ 3,132.5 $ 2,998.1 $ 2,622.1
United States      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 1,901.6 1,750.8 1,627.4
Europe/MEA      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 820.0 877.8 683.9
Latin America      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 243.3 193.4 147.9
Asia-Pacific      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 108.5 112.0 101.8
North America - Other      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales $ 59.1 $ 64.1 $ 61.1