The Church of Jesus Christ of Latter-Day Saints claims 1,121,933 members residing in 212 stakes, 41 districts, and about 2,000 congregations in Mexico. With around 107 million inhabitants, this works out to around 1.05 % or 1 out of every 95 Mexicans belonging to the Church. Mexico has the second largest membership of the Church, after the United States.
If you look at the Church in the United States, you will find areas where the percentage of members in the population is substantially high (~70% in Utah) to areas where it is quite low (a third of a percent in Rhode Island). Overall, the United States is around 2% LDS.
The Church does not publish statistics on membership for each of the states in Mexico. To calculate the strength and size of the Church in different Mexican states, I have divided the population of the state by the number of stakes and districts (which I count as half a stake). Although this method is not perfect, it gives us an idea as to where members of the Church make up a larger percentage versus a smaller percentage of the population in Mexico. In other words, the smaller the number of people per stake, the greater the percentage of members in the Church.
The state with the highest percentage of members in Mexico (calculated from the aforementioned method) is Yucatan, with 225,000 people per stake. Yucatan is obviously located on the Yucatan Pennisula, the capital city being Merida. The states with the lowest percentage of members are Michoacan (1,329,000 people per stake) and Guanajuato (1,223,000 people per stake). Both Michoacan and Guanajuato are between Mexico City and Guadalajara.
Below is a list of the different Mexican states and the population per stake.
Baja California Sur
San Luis Potosí