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Business Acquisitions, Goodwill and Intangible Assets - Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period $ 5,921,116 $ 5,992,900
Measurement Period Adjustment   91,000
Impairment (588,000) (125,400)
Disposal (18,300)  
Foreign Exchange Impact (39,500) (37,400)
Goodwill at the end of the period 5,275,281 5,921,116
Design and Consulting Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 3,189,200 3,218,900
Disposal (5,800)  
Foreign Exchange Impact (22,200) (29,700)
Goodwill at the end of the period 3,161,200 3,189,200
Construction Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 1,008,900 1,049,900
Measurement Period Adjustment   91,000
Impairment (588,000) (125,400)
Foreign Exchange Impact (3,300) (6,600)
Goodwill at the end of the period 417,600 1,008,900
Management Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 1,723,000 1,724,100
Disposal (12,500)  
Foreign Exchange Impact (14,000) (1,100)
Goodwill at the end of the period $ 1,696,500 $ 1,723,000