http://www.abs.gov.au/AUSSTATS/abs@.nsf/DetailsPage/1249.02005-06?OpenDocument
Perhaps this link might be helpful?
Thanks, although I must confess the list of figures looks confusing at times! LOL
I found anotehr source that implies the results from 2001 Census indicates 71% of all Australians are Anglo-Celtic (British/Irish) while 92% are whites, meaning 21% of Australians are non-British/Irish European in ancestry.