Magnetic Field of a Toroid?

A toroid of 350 loops has a long straight wire ping through the center of its "doughnut hole," perpendicular to the plane of the toroid. When a current is ped through the toroid, and a larger current is ped through the straight wire in the appropriate direction, the magnetic field everywhere inside the toroid is exactly cancelled and there is a circular magnetic field at all the points outside the toroid! How many times stronger than the toroid current does the current in the long straight wire have to be?