Until you produce a credible source that points to this conclusion, it's just your own speculative armchair analysis.
Even the best sources are giving calculated guesses. To simplify things in 1910 Islam represented 12.6 per cent of the world's population. In 2010 that increased nearly double to 22.5 percent)
If Islam reaches around 40 per cent by 2110 it will be the world's dominant religion (See data below).
See cut and paste from WIKI:
https://en.wikipedia.org/wiki/Growth_of_religion
Growth of religion is the spread of religions and the increase of religious adherents around the world. The statistics are commonly measured by the absolute number of adherents, the percentage of the absolute growth per year, and the growth of the number of converts in the world. Studies show that, in terms of percentage and world wide spread, Islam is the fastest-growing religion in the world.
In 1990, 1.1 billion people were Muslims, while in 2010, 1.6 billion people were Muslims.[2][75] According to the BBC, a comprehensive American study concluded in 2009 the number stood at approximately 23% of the world population with 60% of Muslims living in Asia.[76] From 1990 to 2010, the global Muslim population increased at an average annual rate of 2.2%. By 2030 Muslims are projected to represent about 26.4% of the global population (out of a total of 7.9 billion people).[5] However, according to others, including the 2003 edition of the Guinness Book of World Records, Islam is the world’s fastest-growing religion by number of conversions each year: "Although the religion began in Arabia, by 2002 80% of all believers in Islam lived outside the Arab world. On the other hand, in 2010 the Pew Forum stated: "Statistical data on conversion to and from Islam are scarce. What little information is available suggests that there is no substantial net gain or loss in the number of Muslims through conversion globally; the number of people who become Muslims through conversion seems roughly equal to the number of Muslims who leave the faith. As a result, this report does not include any estimated future rate of conversions as a direct factor in the projections of Muslim population growth."[77] The growth of Islam from 2010 to 2020 has been estimated at 1.70%[5] due to high birthrates in Asia, the Middle East, and Europe. According to the Carnegie Endowment for International Peace, the World Christian Database as of 2007 has Islam as the fastest-growing religion in the world.[78]Migration into Europe
The world religions data base provides the following picture
Islam
In 1910 there were 221,749.000 (12.6 percent of the World’s population)
In 2010 there were 1,553,773,00 (22.5 percent of the World’s population)
However one surprise to some for the same period is
Atheism
In 1910 there were 243,000 known atheists
In 2010 there were 136,652,000 representing 2 percent of the World’s population
The percentage of Christians has decreased by just 2 percent between 1910 and 2010.
I may add that the growth of any religion incorporates all factors birth rates and net after departures etc.
While the Muslim population increasing it is accelarated in various degrees by the influx of refugees and others wishing to settle in Europe.
See Pewforum
http://www.pewforum.org/2015/04/02/...ation-growth/pf_15-04-02_projectionstables50/
(Chart)
FUTURE GROWTH (TABLE)
http://www.wnrf.org/cms/next200.shtml
PS more support data from research is needed as I notice this has dropped from a lot of forums.