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Goodwill and Intangible Assets (Tables)
 6 Months Ended
Mar. 31, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Components of Company's Goodwill and Intangible Assets
Goodwill and intangible assets comprise the following: 
 
 
March 31,
2020
 
September 30,
2019
 
March 31,
2019
Goodwill
 
$
3,465.5

 
$
3,456.4

 
$
3,147.8

Intangible assets:
 
 
 
 
 
 
Customer relationships
 
$
1,040.4

 
$
1,038.4

 
$
782.1

Trademarks and tradenames
 
11.8

 
16.2

 
16.5

Noncompete agreements and other
 
68.1

 
46.4

 
55.2

Accumulated amortization
 
(478.7
)
 
(441.8
)
 
(416.3
)
Intangible assets, net (definite-lived)
 
641.6

 
659.2

 
437.5

Trademarks and tradenames (indefinite-lived)
 
46.2

 
49.4

 
50.8

Total intangible assets, net
 
$
687.8

 
$
708.6

 
$
488.3