expression
knowingly; deliberately; with full knowledge
Used when someone acts while fully aware of a situation, risk, or consequence. Often implies acceptance of the outcome.
危険を承知の上で、彼は救助に向かった。
Knowing the danger, he went to the rescue.
彼女はリスクを承知の上でその投資を決断した。
She decided on the investment fully aware of the risks.
故意に is a formal adverb meaning 'intentionally' or 'willfully', often used in legal or official contexts. 承知の上で is a phrase that stresses prior knowledge and acceptance, not just intent.
Phrase composed of 承知 (acknowledgment, consent) + の (possessive particle) + 上 (on top of, in addition to) + で (particle indicating state/condition). Literally 'on top of knowing', it means doing something while being fully aware of the circumstances.