A distribution of values is normal with a mean of $1131\mathrm{.}2$ and a standard deviation of $29\mathrm{.}7.$

Find the probability that a randomly selected value is greater than $1047\mathrm{.}1.$

P$($X $>1047\mathrm{.}1)=$

Enter your answer as a number accurate to $4$ decimal places. $*$Note: all z$-$scores must be rounded to the nearest hundredth.