The average cost of a luxury car on a large lot is $57128. Suppose that the distribution is normal with a standard deviation equal to $7400. If a random sample of 200 cars is made, what is the probability that the sample mean of the cars' cost is less than $55783? Assume that the sample is taken from a large number of cars and the correction factor can be ignored. Round your z−value to two decimal places if necessary and express your final answer as a percent rounded to two decimal places.   __________%