The labor protest movement that fast-food workers in New York City began nearly three years ago has led to higher wages for workers all across the country. On Wednesday, it paid off for the people who started it.

A panel appointed by Gov. Andrew M. Cuomo recommended on Wednesday that the minimum wage be raised for employees of fast-food chain restaurants throughout the state to $15 an hour over the next few years. Wages would be raised faster in New York City than in the rest of the state to account for the higher cost of living there.

The panel’s recommendations, which are expected to be put into effect by an order of the state’s acting commissioner of labor, represent a major triumph for the advocates who have rallied burger-flippers and fry cooks to demand pay that covers their basic needs. They argued that taxpayers were subsidizing the workforces of some multinational corporations, like McDonald’s, that were not paying enough to keep their workers from relying on food stamps and other welfare benefits.