Rahat was born into a family of Qawwals and classical singers in Faisalabad, Punjab, Pakistan. He is the son of Farrukh Fateh Ali Khan, grandson of Fateh Ali Khan and the nephew of legendary Qawwali singer Nusrat Fateh Ali Khan.
He judged the show, Chhote Ustaad alongside Sonu Nigam. He was also one of the judges on the singing reality show Junoon, premiered on NDTV Imagine in 2008.
Rahat became the first Pakistani to perform at any Nobel Prize concert, when he was invited to the concert at 2014 Nobel Peace Prize ceremony. He performed Nusrat Fateh Ali Khan's most memorable qawwali "Tumhe Dillagi" and "Mast Qalandar", and he also sang "Aao Parhao" there.
Rahat has appeared in four seasons of the Pakistani musical show Coke Studio.
He first appeared in season 1, where he collaborated with singer Ali Azmat for the track "Garaj Baras". He then collaborated with Abida Parveen in season 6 for "Chhaap Tilak Sab Chheeni".
In season 9, he sang "Afreen Afreen" along with Momina Mustehsan. He collaborated with Amjad Sabri for "Aaj Rang Hai", which was the final performance of the latter, prior to his assassination on 22 June 2016.
He appeared in season 10 where he performed "Sayonee" with Ali Noor.
Rahat had appeared in MTV Unplugged (India) in 2016.