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Pension Benefit Obligations - Periodic Cost (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
United States      
Defined Benefit Plan      
Interest cost on projected benefit obligation $ 4.7 $ 4.3 $ 6.8
Expected return on plan assets (5.6) (6.5) (7.0)
Amortization of prior service costs (credits)     0.1
Amortization of net loss 5.6 5.9 4.7
Curtailment loss recognized     0.5
Settlement loss recognized 0.2 0.2 0.6
Net periodic benefit cost 4.9 3.9 5.7
International.      
Defined Benefit Plan      
Service costs 0.5 0.5 0.6
Interest cost on projected benefit obligation 24.1 21.6 22.4
Expected return on plan assets (41.4) (43.5) (37.5)
Amortization of prior service costs (credits) 0.1 0.1 0.1
Amortization of net loss 6.9 9.2 8.6
Settlement loss recognized 0.3 0.8 0.5
Net periodic benefit cost (9.5) (11.3) (5.3)
Pension Plan, Defined Benefit      
Defined Benefit Plan      
Applicable deferred income taxes, included in OCI arising from net prior service cost and net gain/loss $ 18.8 $ 9.3 $ 15.5