Eliza Collins

USA TODAY

Hillary Clinton is seeing the benefits of her strong debate performance in battleground state polls released Thursday and Friday.

In Nevada, a Suffolk University poll released Friday found Clinton had the support of 44% of likely voters while Donald Trump had 38%. Libertarian Gary Johnson had 7%. Clinton’s boost in Nevada shows a surge past previous polls in the state in recent weeks which had Trump ahead by a percentage point or two. The poll of 500 likely Nevada voters was conducted Sept. 27-29 and has a margin of error of 4.4 points.

In New Hampshire, a WBUR-FM poll had Clinton 9 points ahead of Trump with likely voters in a two-way race, 47%-38%. When third party candidates are added the lead narrows slightly to 7 points. Clinton had 42%, Trump had 35%. Johnson had 13% backing and the Green Party's Jill Stein had 4%.

The numbers released Friday are a few points better for Clinton than polling in early September that indicated a tighter race. The telephone poll of 502 likely New Hampshire voters was conducted Sept. 27-29 and has a margin of error of 4.4 points.

And a Detroit News/WDIV-TV poll released late Thursday showed Clinton with a 7-point lead over Trump in both a head-to-head matchup and four-way field with Johnson and Stein. In the four-way race Clinton had 42%, Trump had 35%, Johnson had the support of 9% of Michigan likely voters and Stein had 3%. Just under one-tenth (9%) are undecided.

Clinton’s lead in Michigan brings is similar to margins she had in August coming out of the Democratic National Convention, but polling in September showed she was lead over Trump had narrowed to between 3 and 6 points. The telephone poll included 600 likely voters and was conducted Sept. 27-28 it has a margin of error of 4 points.

In all three states, a majority of those surveyed said that Clinton had won Monday's first presidential debate.