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The inverse cumulative distribution function (CDF) is utilized in several areas such as statistical applications, Monte Carlo methods and communication systems. In wireless communications, the Nakagami-m inverse CDF is widely used to obtain outage probabilities of systems. However, calculation of the Nakagami-m inverse CDF is troublesome and there is no a closed-form expression. Simpler and more accurate approximation for the Nakagami-m inverse CDF is derived in this paper. Moreover, coefficients of the proposed approximation are optimized by using backtracking search optimization algorithm which is a new evolutionary algorithm to solve optimization problems. The obtained results show that the proposed approximation and exact values of the Nakagami-m inverse CDF are in well agreement for all cases.