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Income Taxes - Deferred tax (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Deferred tax assets:      
Compensation and benefit accruals not currently deductible $ 91.6 $ 130.0  
Net operating loss carryforwards 113.7 169.8  
Self-insurance reserves 4.5 12.3  
Research and experimentation and other tax credits 111.4 117.2  
Pension liability 52.1 87.7  
Accrued liabilities 280.4 284.7  
Capital loss carryforward 64.4 62.0  
Other 5.3 37.3  
Total deferred tax assets 723.4 901.0  
Deferred tax liabilities:      
Unearned revenue (1.5) (19.8)  
Depreciation and amortization (111.4) (116.5)  
Acquired intangible assets (11.2) (19.4)  
Investment in subsidiaries (10.8) (13.4)  
Right of use assets (125.6) (145.6)  
Contingent consideration (33.6) (33.8)  
Total deferred tax liabilities (294.1) (348.5)  
Valuation allowance 154.4 197.7  
Net deferred tax assets 274.9 354.8  
Income Taxes, additional disclosures      
Remaining gross tax asset exclusive of tax liabilities realized 569.0    
Decrease in valuation allowance (43.3)    
Decrease in valuation allowance related to foreign net operating losses (44.6)    
Decrease in valuation allowance related to capital losses (4.6)    
Increase in valuation allowance related to state net operating losses and credits 5.9    
Gross book-tax differences from non-U.S. subsidiaries 1,300.0    
Liability for unrecognized tax benefits, including potential interest and penalties, net of related tax benefit 70.5 62.8  
Unrecognized tax benefits 55.2 46.4 $ 47.1
Unrecognized tax benefits that would be included in the effective tax rate if recognized 53.8    
Capital loss carryforwards 205.2 184.1  
CANADA      
Deferred tax liabilities:      
Valuation allowance     $ 31.7
Other Credits      
Income Taxes, additional disclosures      
Unused tax credits 21.9    
Federal      
Income Taxes, additional disclosures      
Liability for unrecognized tax benefits, including potential interest and penalties, net of related tax benefit 55.2 46.4  
Federal | Research and development      
Income Taxes, additional disclosures      
Unused tax credits 61.2    
State      
Income Taxes, additional disclosures      
Net operating loss carryforwards 667.0 667.0  
State | Research and development      
Income Taxes, additional disclosures      
Unused tax credits 25.1    
Foreign Tax Authority [Member]      
Income Taxes, additional disclosures      
Net operating loss carryforwards 848.0 $ 848.0  
Foreign Tax Authority [Member] | Research and development      
Income Taxes, additional disclosures      
Unused tax credits $ 7.3