Lesbian, gay, bisexual and transgender Americans say they feel more accepted in society than they did a decade ago.

According to a Pew Research Center poll of 1,197 LGBT adults released Thursday, 92 percent said that society has become more accepting of them when compared with 10 years ago. Four percent said there had been no change, while 3 percent said society was less accepting.

A near universal majority (92%) also believe the trend will continue over the next decade. Only 2 percent said society will be less accepting in the future.

However, many of the respondents reported incidents of homophobia or transphobia. Thirty-nine percent said that they were rejected by a friend or family member because of their sexual orientation or gender identity; 30 percent said that they had been physically attacked or threatened; 29% said that they have been made to feel unwelcome in a place of worship; and 21 percent said that they have been treated unfairly by an employer. Fifty-eight percent said that they have been the target of slurs or jokes.

Also, many LGBT people remain closeted to their parents. Just 56% said they have told their mother about their sexual orientation or gender identity; fewer (39%) have told their father.

“Most who did tell a parent say that it was difficult, but relatively few say that it damaged their relationship,” pollsters wrote.

Gary Gates, a demographer with the Williams Institute who consulted on the Pew report, told NPR: “The lives of LGBT people are debated every day in this country, at ballot boxes, in legislatures, in the courts, in corporate boardrooms. And it seems to me only fair that the public have some information about who they are and how they experience the world.”