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Pension Benefit Obligations - Periodic Cost (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
United States      
Defined Benefit Plan      
Interest cost on projected benefit obligation $ 9.8 $ 4.7 $ 4.3
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Interest Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Expected return on plan assets $ (5.8) $ (5.6) $ (6.5)
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Expected Return (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Amortization of Prior Service Cost (Credit), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Amortization of net loss (gain) $ 3.5 $ 5.6 $ 5.9
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Amortization of Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Settlement (gain) loss recognized $ (0.1) $ 0.2 $ 0.2
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Settlement Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Net periodic benefit cost (credit) $ 7.4 $ 4.9 $ 3.9
International      
Defined Benefit Plan      
Service costs 0.3 0.5 0.5
Interest cost on projected benefit obligation $ 47.7 $ 24.1 $ 21.6
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Interest Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Expected return on plan assets $ (60.8) $ (41.4) $ (43.5)
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Expected Return (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Amortization of prior service costs (credits) $ 0.1 $ 0.1 $ 0.1
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Amortization of Prior Service Cost (Credit), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Amortization of net loss (gain) $ (0.6) $ 6.9 $ 9.2
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Amortization of Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Settlement (gain) loss recognized $ 0.2 $ 0.3 $ 0.8
Defined Benefit Plan, Net Periodic Benefit (Cost) Credit, Settlement Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income Other Nonoperating Income Other Nonoperating Income
Net periodic benefit cost (credit) $ (13.1) $ (9.5) $ (11.3)
Pension Plan, Defined Benefit      
Defined Benefit Plan      
Applicable deferred income taxes, included in OCI arising from net prior service cost and net gain/loss $ 3.1 $ 18.8 $ 9.3