›if a company or organization outgrows its buildings or offices, it becomes too big for them: The foundation is expanding rapidly and has outgrown its current facility.
›to need something that is bigger, more modern, etc. than what you have or use at the present time, for example, because you have become more successful, skilled, etc. than you were previously: In recent years, air travel has outgrown the air traffic control system.
›to become more successful or important than another person or company that is involved in the same activity or industry as you are: Analysts have predicted that China will outgrow America economically in the second decade of the 21st century.