The phrase "a formidable reputation for" is correct and usable in written English.
It can be used to describe someone or something that is well-known for a particular quality or achievement, often implying respect or fear.
Example: "The scientist has built a formidable reputation for her groundbreaking research in renewable energy."
Alternatives: "a strong reputation for" or "a notable reputation for".
Both are specialists in corruption cases, and have a formidable reputation for tenacity, toughness and independence.
For much of his Commons career Mr Brown had a formidable reputation for his debating skills.
Mr. Esteves, a trading whiz, has forged a formidable reputation for value enhancement.
Mr DeLay enjoyed a formidable reputation for getting things done on Capitol Hill.
By this time his numerous adventures on the frontier had given him a formidable reputation for strength and bravery.
By the time he retired in 1986, the paper had built a formidable reputation for independence and moved into its Kesargarh headquarters.
He practiced law for the succeeding four decades, amassing a considerable fortune and establishing a formidable reputation, more for his abrasive courtroom tactics than for his legal expertise.
He began his career in the early 1980s and built up a formidable reputation, not least for making the popular X-COM series of sci-fi games.
They were good friends and Massop who, even then had a formidable reputation, provided protection for Far I if ever it were needed.
The restaurant, which opened in July, is itself an outpost of an empire, a chain centered in New Delhi that has built a formidable reputation among Indians for its tandoori chicken, butter chicken and that black-lentil dal.
Few design teams have built a more formidable reputation for elegance with an edge than March & White, the London-based architecture and interior design studio that has quickly amassed a global clientele of luxury hotels, restaurants, and condominiums.
