Global Ummah, Muslims around the World - Muslims of Iceland
There are 875 people registered with the official Muslim organisations in Iceland (as of 2015), making up aprox. 0.27% of the population. Some estimations say that there are up to 1,200 Muslims living in Iceland, but since there are vast rural areas not all can frequent the very few mosques/organizations in the countries more populated areas.
Fun Fact: Due to the geographical location of the country, fasting during Ramadan can last up to 22+ hours a day depending on the year.