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Business Segment Information - Long-lived Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Segment Information      
Long-lived assets, net $ 145.0 $ 124.4 $ 119.6
United States      
Segment Information      
Long-lived assets, net 128.4 106.7 100.6
United Kingdom      
Segment Information      
Long-lived assets, net 5.9 5.7 11.7
Other foreign countries      
Segment Information      
Long-lived assets, net $ 10.7 $ 12.0 $ 7.3