Assuming percentage of the total count:
SELECT (count(incidentnumber) FILTER (WHERE IncidentStationGround <> firstpumparriving_deployedfromstation)
      * 100.0) / count(*) AS average
FROM   incidents;
Multiply the result with a numeric constant: 100.0 (with decimal point!) to implicitly cast the bigint result of count() to numeric. (Or cast explicitly.)
round() is optional. You get many decimal places without it.
Assuming that incidentnumber is defined NOT NULL, so count(*) does the same as count(incidentnumber), just a bit faster. (A table definition would provide that information.)
Assuming Postgres 9.4 or later.
Related answer with links and alternative for older versions:
About round() and numeric: