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Pension and Other Postretirement Benefits - Change in Projected Benefit Obligation, Fair Value of Plan Assets, and Net Funded Status (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Amounts recognized in assets or liabilities [Abstract]      
Pension asset $ 143.5 $ 110.3  
Other liabilities (55.3) $ (42.8)  
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Other Comprehensive (Income) Loss, Defined Benefit Plan, before Reclassification Adjustment, Tax $ 8.3    
Pension Benefits | UNITED STATES      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 5.09% 6.06%  
Rate of compensation increase 3.00% 3.00%  
Pension Benefits | North America      
Change in benefit obligation [roll forward]      
Benefit obligation at beginning of period $ 92.6 $ 95.5  
Service cost 2.5 2.2 $ 4.3
Interest cost 5.8 5.3 3.5
Plan participants' contributions 0.3 0.3  
Actuarial (gain) loss 11.4 (5.4)  
Business Combinations 0.0 0.0  
Benefits Paid (6.0) (5.4)  
Plan amendments 8.3 0.0  
Defined Benefit Plan, Benefit Obligation, Other 0.0 0.0  
Currency translation 0.1 0.1  
Benefit obligation at end of period $ 115.0 $ 92.6 $ 95.5
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) Excluding Service Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income (Expense) Other Nonoperating Income (Expense) Other Nonoperating Income (Expense)
Change in fair value of plan assets [roll forward]      
Fair value of plan assets at beginning of period $ 108.2 $ 102.9  
Actual return on plan assets 25.3 10.1  
Employer contributions 0.0 0.1  
Business combinations 0.0 0.0  
Plan participants' contributions 0.3 0.3  
Benefits Paid (6.0) (5.4)  
Currency translation 0.1 0.2  
Other 0.0 0.0  
Fair value of plan assets at end of period 127.9 108.2 $ 102.9
Defined benefit plan, funded status of plan [Abstract]      
Funded status 12.9 15.6  
Amounts recognized in assets or liabilities [Abstract]      
Pension asset 22.5 15.9  
Other liabilities (9.6) (0.3)  
Net amount recognized 12.9 15.6  
Amounts recognized in accumulated other comprehensive income or loss [Abstract]      
Net actuarial (gain) loss (8.0) (2.7)  
Prior service cost (credit) 8.1 0.4  
Total 0.1 (2.3)  
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Defined Benefit Plan, Accumulated Benefit Obligation $ 114.3 91.8  
Pension Benefits | SERP      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 4.87%    
Rate of compensation increase 3.00%    
Interest Crediting Rate 4.90%    
Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Projected Benefit Obligation $ 9.5    
Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets, Accumulated Benefit Obligation 9.5    
Pension Benefits | Other international      
Change in benefit obligation [roll forward]      
Benefit obligation at beginning of period 422.0 421.1  
Service cost 0.3 0.0 0.0
Interest cost 25.6 23.3 15.7
Plan participants' contributions 0.0 0.0  
Actuarial (gain) loss 24.5 (37.5)  
Business Combinations 32.4 0.0  
Benefits Paid (29.3) (25.9)  
Plan amendments 0.1 0.0  
Defined Benefit Plan, Benefit Obligation, Other (0.3) 0.0  
Currency translation 42.6 41.0  
Benefit obligation at end of period $ 517.9 $ 422.0 $ 421.1
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) Excluding Service Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income (Expense) Other Nonoperating Income (Expense) Other Nonoperating Income (Expense)
Change in fair value of plan assets [roll forward]      
Fair value of plan assets at beginning of period $ 516.4 $ 507.3  
Actual return on plan assets 56.5 (14.3)  
Employer contributions 0.1 0.0  
Business combinations 42.7 0.0  
Plan participants' contributions 0.0 0.0  
Benefits Paid (29.3) (25.9)  
Currency translation 52.8 49.4  
Other (0.3) (0.1)  
Fair value of plan assets at end of period 638.9 516.4 $ 507.3
Defined benefit plan, funded status of plan [Abstract]      
Funded status 121.0 94.4  
Amounts recognized in assets or liabilities [Abstract]      
Pension asset 121.0 94.4  
Other liabilities 0.0 0.0  
Net amount recognized 121.0 94.4  
Amounts recognized in accumulated other comprehensive income or loss [Abstract]      
Net actuarial (gain) loss 50.2 47.7  
Prior service cost (credit) 9.9 10.3  
Total $ 60.1 $ 58.0  
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 5.17% 5.67%  
Rate of compensation increase 2.48% 3.02%  
Pension Benefits | CANADA      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 4.64% 5.68%  
Rate of compensation increase 2.75% 2.75%  
Pension Benefits | Other International      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Defined Benefit Plan, Accumulated Benefit Obligation $ 517.9 $ 422.0  
Other Benefits | UNITED STATES      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 4.99% 6.01%  
Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets, Accumulated Benefit Obligation $ 43.9 $ 40.6  
Other Benefits | North America      
Change in benefit obligation [roll forward]      
Benefit obligation at beginning of period 45.8 48.3  
Service cost 0.2 0.3 0.5
Interest cost 2.7 2.5 1.5
Actuarial (gain) loss 2.4 (3.0)  
Benefits Paid (2.2) (2.3)  
Benefit obligation at end of period $ 48.9 $ 45.8 $ 48.3
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) Excluding Service Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Other Nonoperating Income (Expense) Other Nonoperating Income (Expense) Other Nonoperating Income (Expense)
Change in fair value of plan assets [roll forward]      
Fair value of plan assets at beginning of period $ 0.0    
Employer contributions 2.2 $ 2.3  
Benefits Paid (2.2) (2.3)  
Fair value of plan assets at end of period 0.0 0.0  
Defined benefit plan, funded status of plan [Abstract]      
Funded status (48.9) (45.8)  
Amounts recognized in assets or liabilities [Abstract]      
Other current liabilities (3.2) (3.3)  
Other liabilities (45.7) (42.5)  
Net amount recognized (48.9) (45.8)  
Amounts recognized in accumulated other comprehensive income or loss [Abstract]      
Net actuarial (gain) loss (8.3) (11.7)  
Prior service cost (credit) 0.0 (0.7)  
Total $ (8.3) $ (12.4)  
Other Benefits | CANADA      
Weighted-average assumptions used to determine benefit obligation [Abstract]      
Discount rate 4.73% 5.67%  
Rate of compensation increase 2.75% 2.75%  
Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets, Accumulated Benefit Obligation $ 5.0 $ 5.2