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Business Acquisitions, Goodwill and Intangible Assets - Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period $ 5,992,881 $ 5,823,800
Measurement period adjustments 91,000  
Impairment (125,400)  
Acquisitions   127,100
Disposed   (1,800)
Foreign Exchange Impact (37,400) 43,800
Goodwill at the end of the period 5,921,116 5,992,881
Design and Consulting Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 3,218,900 3,198,200
Acquisitions   3,800
Disposed   (1,800)
Foreign Exchange Impact (29,700) 18,700
Goodwill at the end of the period 3,189,200 3,218,900
Construction Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 1,049,900 915,200
Measurement period adjustments 91,000  
Impairment (125,400)  
Acquisitions   123,300
Foreign Exchange Impact (6,600) 11,400
Goodwill at the end of the period 1,008,900 1,049,900
Management Services    
Changes in the carrying value of goodwill by reporting segment    
Goodwill at the beginning of the period 1,724,100 1,710,400
Foreign Exchange Impact (1,100) 13,700
Goodwill at the end of the period $ 1,723,000 $ 1,724,100