Sen. Kamala Harris is seeing a big boost in INSIDER's primary tracker following her contentious exchange at last week's Democratic presidential debate with former Vice President Joe Biden, whose approval rating has simultaneously taken a hit.

The percentage of likely Democratic primary voters who would be "satisfied" with Harris as their party's 2020 nominee jumped 13 points, to 64% from 51%, among those who know who she is, according to INSIDER polling.

Among respondents who said they'd be satisfied with Biden as the nominee, Harris has exploded in popularity.

Among Harris' backers, Biden's stature seems to have shrunk overnight.

Biden's satisfaction rate simultaneously dropped to 56% from 65%, while those who said they'd be "unsatisfied" with him grew to 25% from about 18%.

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Sen. Kamala Harris of California saw a big boost in polling after her contentious exchange at last week's Democratic presidential debate with former Vice President Joe Biden, whose approval rating simultaneously took a hit.

The percentage of likely Democratic primary voters who said they'd be "satisfied" with Harris as their party's 2020 nominee jumped 13 points, to 64% from 51%, among those who know who she is (which is 59% of respondents), according to INSIDER polling.

The older figure averages Harris' polling over five polls taken May 17 to June 22 through INSIDER's recurring 2020 primary tracker. The newer figure is from the most recent poll, conducted Friday and Saturday. The second night of primary debates, which both Harris and Biden participated in, was held Thursday night.

Read more: How the INSIDER 2020 Democratic primary tracker works

At the same time as Harris rose in the poll, Biden's satisfaction rating among those aware of him (83% of respondents) dropped to 56% in the latest survey from 62% over the previous month, and those who said they'd be "unsatisfied" with him grew to 25% from about 18%.

Harris made perhaps the most memorable impression on the debate stage during two nights of sparring among Democrats last week when she criticized Biden's record on race relations. This had numerous significant impacts, not least of which was that it appealed to the fifth of respondents who'd be satisfied with both Harris and Biden.

Among respondents who said they'd be satisfied with Biden as the nominee, Harris has grown in popularity. In those preceding polls, only 40% of those satisfied with Biden as nominee would also be satisfied with Harris. In the most recent poll, that popped to 48%, making Harris the single most likely candidate Biden supporters also would favor.

Biden's stature has also shrunk among Harris backers. In the weeks preceding the debates, 68% of those who'd be happy with Harris as the nominee also would be good with Biden. In the most recent survey, which has a small sample size and should be treated as preliminary, that's down to 59%, a 9-point drop.

During Thursday night's debate, Harris took issue with Biden's past opposition to federally mandated busing as part of the US's attempts to integrate schools. She also said Biden's recent comments touting his dealmaking with segregationist senators was personally "hurtful" to her.

Read more: Kamala Harris had her biggest day of fundraising after attacking Joe Biden's record on race during the Democratic debate

"There was a little girl in California who was part of the second class to integrate her public schools and she was bused to school every day," Harris said. "That little girl was me."

Biden's recent comments on race and controversial comments about girls and women on the campaign trail made headlines in the weeks leading up to the debates.

SurveyMonkey Audience polls from a national sample balanced by census data of age and gender. Respondents are incentivized to complete surveys through charitable contributions. Generally speaking, digital polling tends to skew toward people with access to the internet. SurveyMonkey Audience doesn't try to weight its sample based on race or income.

The new poll was collected June 28-29, had a total of 1,172 respondents, 448 of whom were registered Democrats, and a margin of error of plus or minus 3.02 percentage points with a 95% confidence level. See this page for more details about methodology.