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Business Segment Information - Long-lived Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Segment Information      
Long-lived assets, net $ 166.3 $ 145.0 $ 124.4
United States      
Segment Information      
Long-lived assets, net 148.2 128.4 106.7
United Kingdom      
Segment Information      
Long-lived assets, net 7.1 5.9 5.7
Other foreign countries      
Segment Information      
Long-lived assets, net $ 11.0 $ 10.7 $ 12.0