Simplify the following text for a Grade 8 native English-speaking person.
Original: The Royal College of St. Peter in Westminster , almost always known as Westminster School , is one of Britain 's leading private schools , with one of the highest number of students going to Oxford or Cambridge Universities of any secondary school or college .
Simplified: The Royal College of St. Peter in Westminster , almost always known as Westminster School , is one of Britain 's leading independent schools , with the highest Oxbridge acceptance rate of any secondary school or college in the world .