New poll reveals whether Donald Trump or Democrats benefited more from Joe Biden dropping out of the presidential race

Fresh polling shows that former President Donald Trump would have been better off had President Joe Biden stayed atop the Democratic ticket. 

A new CNN/SSRS poll found that Trump's six-point lead over Biden got cut down to three points now that his rival is Vice President Kamala Harris - with a plus or minus three point margin of error. 

Pollsters surveyed the same group of registered voters that they did in April or June in order to measure real changed in the electorate's mood. 

They found that Harris retained 95 percent of voters who said they'd choose Biden in the fall, while Trump retained 92 percent of his supporters in this new match-up. 

Among those who previously said they would neither support Biden nor Trump in a two-way race now split 30 percent for Harris and 27 percent for Trump, with the remainder saying they'd still support someone else. 

Seventy-four percent of Trump's supporters says their vote is a vote for Trump - not a vote against Harris. 

That number has grown from 66 percent in June. 

Since then, Trump has survived an assassination attempt and concluded his four-day nominating convention last week in Milwaukee, Wisconsin. 

On the Democratic side, much of the support this cycle has been motivated by a distaste for Trump. 

However, the new polling found that 50 percent of those who support Harris say their vote is in support of her rather than against Trump. 

When Biden supporters were asked the same question in June, just 37 percent said they were voting for the president in support of him - with the rest saying their vote was to prevent Trump from serving a second term. 

Democratic-aligned voters were broadly supportive of the party's rush to back Harris, who Biden endorsed on his way out the door. 

The poll found that 76 percent said the Democratic Party should nominate Harris as its candidate for president. 

Just 6 percent expressed support for specific alternative candidates.

Four in 10 Democratic-aligned voters said Harris should focus on attracting swing voters when picking a running mate. 

The Wall Street Journal reported Monday that Harris' team has requested vetting materials from swing state and midwestern Democrats including Arizona Sen. Mark Kelly, North Carolina Gov. Roy Cooper, Pennsylvania Gov. Josh Shapiro, Michigan Gov. Gretchen Whitmer, Illinois Gov. J.B. Pritzker and Minnesota Gov. Tim Walz. 

Only 11 percent said it's extremely important that Harris pick a male running mate. 

If she's elected she'll be the first female president and the first female president of color. 

The poll was conducted on July 22-23 after Biden pulled out of the presidential race.