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Related Party Transactions and Parent Company Investment - Parent Company Investment (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Mar. 31, 2022
Dec. 31, 2021
Mar. 31, 2021
Dec. 31, 2020
Mar. 31, 2022
Mar. 31, 2021
Related Party Transactions [Abstract]            
Cash pooling and general financing activities $ 78.5   $ 146.7   $ 255.9 $ 303.1
Corporate and segment allocations, excluding non-cash share-based compensation (30.6)   (32.0)   (50.4) (53.7)
Taxes deemed settled with Parent 1.6   (6.7)   (16.2) (26.5)
Net transfers to Parent as reflected in the condensed combined statements of cash flows         189.3 222.9
Share-based compensation expense         (8.5) (6.7)
Pension expense         (3.6) (4.9)
Net Consideration paid to Parent in connection with the spin off 1,266.0   0.0   1,266.0 0.0
Related party senior secured notes 197.0   0.0   197.0 0.0
Other transfers to (from) Parent, net 78.0   1.2   84.1 (10.3)
Net transfers to Parent (Note 2) $ 1,590.5 $ 133.8 $ 109.2 $ 91.8 $ 1,724.3 $ 201.0