This is basically a question of what percentage of the population resides in countries using (our) Gregorian calendar, which is "a vast majority": "Today, a vast majority of countries use the Gregorian calendar as their sole civil calendar. Countries which haven't adopted the Gregorian calendar are Saudi Arabia, Ethiopia, Nepal, Iran and Afghanistan. Some countries use other calendars alongside the Gregorian calendar: India, Bangladesh, Israel and Myanmar; other countries use a modified version of the Gregorian calendar: Sri Lanka, Cambodia, Thailand, Japan, North Korea and Taiwan.
The nearly universal civil adoption of the Gregorian calendar hasn't been followed by most religious organizations, which have often retained their own calendars. These alternate calendars are used in many regions of the world today to mark cycles of religious and astrological events." -from
https://en.wikipedia.org/wiki/Gregorian_calendar
Based on this, and on the figures from
http://simple.wikipedia.org/wiki/List_of_countries_by_population, the countries not celebrating the Gregorian New Year contain 82,101,998 (Ethiopia) + 76,991,000 (Iran) + 32,358,000 (Afghanistan) + 27,136,977 (Saudi Arabia) + 26,620,809 (Nepal) = 245,208,784 people out of a world population estimated at the same site to be 7,059,900,000: I calculate this to be 96.5267% of the world's current population living in countries that recognise tomorrow (FT time) as 1 January 2013, New Year's Day.
This cannot account for each individual's choices to celebrate it, or not, for religious or other reasons. Further, some of these individuals may also (or instead) choose to celebrate the Julian calendar's 1 January, 13 days later, regardless of its "official" national status.