Just after World War II, over 90% of the 7.5 million Australians were of Anglo-Celtic stock. Since then, the population has tripled, with close to 45% of the population having at least one parent born in a foreign country. Now over 260 languages are spoken in Australia, and the country is made up of people with 270 different ancestries.
Although it doesn’t explicitly say it, I think most people reading that would assume that the proportion of Australians who are non-white has increased since the 1940s. That paragraph very strongly implies it.
In fact, the white majority has increased: as of last year, 92% of Australians are white. I found that out with 10 secs of internet searching.