The contribution which oil makes to Dubai's economy has been in the single-digit percentages for many years.[0] While the UAE overall is known for oil output (though this chart[1] states that it is lower per capita then you suggested, at least for 2017), the UAE is an only loosely joined federation, and so the oil output of other emirates is not reflective of Dubai.
[0] https://www.bloomberg.com/opinion/articles/2018-01-14/dubai-...
[1] https://en.wikipedia.org/wiki/List_of_countries_by_oil_produ...