We consider a problem of global asymptotic stabilization of a class of nonlinear systems that have the unknown linear growth rate. While the existing results only deal with one specified form of nonlinear systems, our proposed method includes both forms of triangular and feedforward nonlinear systems in a unified framework. The proposed controller has a dynamic gain mechanism which is selectively engaged based on the given nonlinear form. Then, the dynamic gain is adaptively tuned depending on the unknown linear growth rate.