Familiar or acquainted by use or study; well-informed; versed; generally used with with, sometimes with in
If you are conversant with something, you are familiar with it and able to deal with it. Those in business are not, on the whole, conversant with basic scientific principles
(usually followed by `with') well informed about or knowing thoroughly; "conversant with business trends"; "familiar with the complex machinery"; "he was familiar with those roads"