To take the world by storm; to dominate public attention or fashion in a particular era.
そのバンドは一世を風靡し、若者文化に大きな影響を与えた。
The band took the world by storm and had a huge influence on youth culture.
新作アプリは瞬く間に一世を風靡し、ダウンロード数が急増した。
The new app quickly took the world by storm and downloads surged.
彼のデザインは一世を風靡し、数多くのブランドが模倣した。
His designs dominated the era and many brands imitated them.