Washington (CNN) Most Americans say they support each of the two major Supreme Court rulings issued late last week, and nearly four in 10 now say they view the Court as too liberal.

Support for each ruling is sharply divided by party, with most Democrats and independents behind both, and most Republicans opposed to both.

Democrats are more apt to say they back the ruling on the 2010 health care law sometimes referred to as Obamacare -- 79% back it -- than they are to support the same-sex marriage decision, of which 70% favor. Among Republicans, 54% said they oppose the ruling on health care, while 59% oppose the ruling on same-sex marriage, not a statistically-significant difference. Among independents, 63% support each ruling.

The 37% of Americans who say they see the Court as too liberal is the highest share to say so in CNN polling dating back to 1993. Fewer, 20%, say they feel the Court is too conservative and 40% see it as about right.

In a CNN/ORC poll in 2012, just after the Court issued its first ruling upholding part of the health care law, 30% said they felt the Court was too liberal, 22% that it was too conservative.

Republicans are most apt in the new poll to say the Court's ideology is too far to the left: 69% see the Court as too liberal. That's up from 2012, when 59% of Republicans called it too liberal.

Among Democrats, 34% now say they see the Court as too conservative and 15% too liberal, 49% say the Court is about right. In 2012, just 6% of Democrats described the Court as too liberal, but the share calling it too conservative was about the same at 35%.

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The new poll was completed before the Court issued rulings on Monday on the legality of a lethal injection drug, the use of independent commissions for redistricting and EPA regulations on power plant emissions.

Chief Justice John Roberts, who wrote the majority opinion both times the Court has ruled on the 2010 health care law, is a bit of a mystery to the public. About two-thirds of adults, 64%, say they don't know enough to say where Roberts falls ideologically. But those who do rate him are split between whether he is "more conservative than you would like" or "not conservative enough," with 10% taking each side. Another 15% say his views are about right, ideologically.

In September 2005, before Roberts was confirmed by the Senate, a CBS News/New York Times poll found just 2% of adults thought Roberts was not conservative enough, 14% that he was more conservative than they'd prefer and 22% felt he was about right.

Roberts, who was appointed by Republican President George W. Bush, has made a somewhat more clear impression among Republicans: 23% say he's not conservative enough, just 12% that he's about right and only 3% that he's more conservative than they'd like.

The Court's rulings were part of a week packed with victories for Obama, including Congressional approval of fast-track authority for trade deals. The poll found that Obama's approval ratings overall and for handling the economy and race relations were on the rise, but several other issues tested in the poll found Obama deeply in negative territory.

Photos: U.S. reacts to same-sex marriage ruling Photos: U.S. reacts to same-sex marriage ruling The White House is lit up in rainbow colors in commemoration of the Supreme Court's ruling to legalize same-sex marriage on Friday, June 26. The court ruled that states cannot ban same-sex marriage , handing gay rights advocates their biggest victory yet. Hide Caption 1 of 17 Photos: U.S. reacts to same-sex marriage ruling Ariel Olah, left, and her fiancee, Katie Boatman, are overcome by emotion outside the U.S. Supreme Court in Washington on Friday, June 26. Hide Caption 2 of 17 Photos: U.S. reacts to same-sex marriage ruling People wave a giant equality flag as they celebrate outside the Supreme Court on June 26. Hide Caption 3 of 17 Photos: U.S. reacts to same-sex marriage ruling James Obergefell, the lead plaintiff in the case brought before the Supreme Court, listens to a phone call from President Barack Obama after the landmark decision on June 26. Hide Caption 4 of 17 Photos: U.S. reacts to same-sex marriage ruling Same-sex marriage activists and supporters rejoice in Washington after the ruling. Hide Caption 5 of 17 Photos: U.S. reacts to same-sex marriage ruling Eric Braman, left, and Kris Katkus were the first to register for a marriage license in Kalamazoo, Michigan, after the Supreme Court ruling. Hide Caption 6 of 17 Photos: U.S. reacts to same-sex marriage ruling After the ruling, there were cheers outside City Hall in San Francisco. Hide Caption 7 of 17 Photos: U.S. reacts to same-sex marriage ruling Chris Svoboda, president of the Virginia Equality Bar Association, raises her arms in victory on the steps of the Supreme Court on June 26. Hide Caption 8 of 17 Photos: U.S. reacts to same-sex marriage ruling Jaque Roberts, left, and her partner of 31 years, Carmelita Cabello, arrive at the Travis County building in Austin, Texas, for a marriage license on June 26. Hide Caption 9 of 17 Photos: U.S. reacts to same-sex marriage ruling Doug Mest, left, and Mark Pelekakis kiss outside the Stonewall Inn in New York, the site of the 1969 Stonewall riots and an iconic bar in the LGBT community. Hide Caption 10 of 17 Photos: U.S. reacts to same-sex marriage ruling Laura Zinszer, left, and Angela Boyle kiss after receiving their marriage license June 26 in Columbia, Missouri. They were Boone County's first same-sex couple to receive their marriage license. Hide Caption 11 of 17 Photos: U.S. reacts to same-sex marriage ruling A group of same-sex marriage advocates film a video selfie in front of the Supreme Court on June 26. Hide Caption 12 of 17 Photos: U.S. reacts to same-sex marriage ruling U.S. Rep. Mark Takano of California sings the national anthem June 26 with members of the Gay Men's Chorus of Washington. Hide Caption 13 of 17 Photos: U.S. reacts to same-sex marriage ruling Oakland County Clerk Lisa Brown, center, marries Breanne Brodak, left, and Cortney Tucker in Pontiac, Michigan, on June 26. Hide Caption 14 of 17 Photos: U.S. reacts to same-sex marriage ruling A man holds a rainbow flag outside the Supreme Court on June 26. Hide Caption 15 of 17 Photos: U.S. reacts to same-sex marriage ruling Kathy Petterson, left, and Beverly Reicks leave the Douglas County Clerk's office on June 26 after becoming the first same-sex couple to wed in Omaha, Nebraska. Hide Caption 16 of 17 Photos: U.S. reacts to same-sex marriage ruling Carlos McKnight of Washington waves a rainbow flag in support of same-sex marriage on June 26. See photos from states that approved same-sex marriage before the Supreme Court ruling Hide Caption 17 of 17

Despite the political win on trade, most disapprove of the way Obama is handling foreign trade: 53% disapprove while 40% approve.

And in the wake of a data breach affecting millions of federal employees, just 37% say they approve of the way Obama is handling cybersecurity and 56% disapprove. That's held since February, when 35% said they approved of how Obama handled the security of the nation's electronic information.

With the deadline for negotiations with Iran about that country's nuclear program nearing a deadline, Obama's approval rating for managing the U.S. relationship with Iran has dropped 10 points since April, to 38%.

The CNN/ORC Poll was conducted by telephone June 26-28 among 1,017 adult Americans. Results for the full sample have a margin of sampling error of plus or minus 3 percentage points.