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Financial Instruments and Fair Value Measurements - Cash and Cash Equivalents (Details) - USD ($)
$ in Millions
Mar. 31, 2022
Sep. 30, 2021
Mar. 31, 2021
Sep. 30, 2020
Fair Value Disclosures [Abstract]        
Cash and cash equivalents - condensed combined balance sheets $ 264.3 $ 0.0    
Cash and cash equivalents - condensed combined statements of cash flows $ 264.3 $ 0.0 $ 0.0 $ 0.0