1. In large part; mainly or chiefly
   - largely, for the most part, predominately 
2. Usually; as a rule
   - by and large, generally, more often than not

See also: most

• high quality
• high relief
• High Renaissance
• high roller
• high sea
• high season
• High Sierra
• high sign
• high society
• high spirits
• high spot
• high status
• high stepper
• high street
• high style
• high table
• high tea
• high technology
• high temperature
• high tide
• high time
• high treason
• high wind
• high wire
• high-altitude