But the evidence from polling and the early voting turnout seemed to indicate he was facing the possibility of sweeping losses in states with sizable Hispanic populations, most likely affected by the racially tinged language he has used since beginning his campaign over 16 months ago, when he claimed the ranks of Mexican migrants were filled with rapists and drug dealers.

“The story of this election may be the mobilization of the Hispanic vote,” said Senator Lindsey Graham of South Carolina, an anti-Trump Republican who has pleaded with his party to do more to win over Latinos. “And they didn’t come out for anybody as much as they came out against what they saw as racism. So Trump deserves the award for Hispanic turnout. He did more to get them out than any Democrat has ever done.”

In Florida, at least 200,000 more Hispanics had voted early as of Friday than did during the entire early voting period four years ago, according to an analysis by Steve Schale, a Democratic strategist who helped run President Obama’s two campaigns here.

The turnout has been particularly explosive in South Florida and in Central Florida, where thousands from Puerto Rico and other regions of Latin America have migrated in recent years. And 24 percent of the Hispanics casting early ballots were first-time voters, the analysis showed.