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According to the 2000 census, the estimated population of Utah on April 1st, 2000 was 2,233,169. According to Glenmary Research and the published findings of the American Religion Data Archive, The Church of Jesus Christ of Latter Day Saints had 1,483,858 adherents (members) at that time.
In 1990, the estimated population of the State of Utah was 1,729,227. The Mormon church’s estimated adherents at that time were 1,236,242, or roughly seventy one and a half percent (71.5%) of the total population. Therefore, the actual percentage of Mormons in the state of Utah was sixty six percent (66%) in 2000, and based on a steady decrease in Mormon density, the percentage of Mormons in Utah in 2003 is approximately sixty four percent (64%).
By these numbers, Mormons should become the minority in Utah by the year 2033; this estimate does not take into account the massive expected influx of new residents from out of state. When this is taken into account, Mormons should become the minority by the year 2014 (best guess...).