Hi just looking for the rate of national insurance (or local equiv)
that is paid by both the employer and the employee.

Assuming that "national insurance" is a "social insurance program [..]
based on contributions from employers and employees; provides payments
to unemployed and sick and retired people as well as medical services"
(://www.google.com/search?q=define%3A%22national+insurance%22),
such a tax would compare to the Norwegian "trygdeavgift" (paid by
employees) and "arbeidsgiveravgift" (paid by employers).

According to the reliable Norwegian publication Økonomisk rapport,
there are no equivalent of "trygdeavgift" and "arbeidsgiveravgift" in
Denmark: http://www.orapp.no/oversikt/Argang_2005/32003/jobbliv/32111

However, employers pay an "arbejdsmarkedsbidrag" (labour market
contribution) of 8 percent:
http://www.skm.dk/tal_statistik/skatteberegning/1372.html?rel