For autonomous systems it is well known how to extract tunneling probabilities from wave packet calculations. Here we present a corresponding approach for periodically time-dependent Hamiltonians, valid at all frequencies, field strengths, and transition orders. After mapping the periodically driven system onto a time-independent one with an additional degree of freedom use is made of the correlation function formulation of scattering [D. J. Tannor and D. E. Weeks, J. Chem. Phys. 98, 3884 (1993)]. The formalism is then applied to study the transmission properties of a resonant tunneling double barrier structure under the influence of a sinusoidal laser field, revealing an unexpected antiresonance in the zero-photon transition for large field strengths.