"knowing very well" is a perfectly acceptable phrase to use in written English.
You can use it when you are expressing that someone is aware of something, either because of their familiarity with the situation, or because they are informed. For example, "The mayor, knowing very well the importance of the issue, promised to address it as soon as possible."
Knowing by theory and by practice the processes of gardening and knowing very well the plants cultivated in the Jardin du Roi".
"We did everything without knowing very well how," she said.
"People go off and have babies knowing very well that SIDS could strike," he said.
Yet Cartier-Bresson returned to it, knowing very well that it was an act of solidarity with both those who see the second train and those who don't.
"The characters are very Spanish, as I can say, knowing very well the character of the people of my country," Mr. Sagi said recently from Ravenna, where the company was rehearsing.
Mr. Rubin and Citigroup's other directors decided to pay the $12.5 million bonus knowing very well that Citigroup's market value had dropped by $64 billion during Mr. Prince's tenure.
Bringing students on campus, parading them around, and hoping that they will apply--knowing very well that many of them aren't interested in or prepared for your programs--is a waste of school money, and of time for all parties involved.
While buying gift for her take some assistance from her best friends because they would be knowing better or if you want to do this on your own then you should know very well of her likes and dislikes.
He also said that his son reported not even knowing Dylan very well, so he did not feel it necessary to tell him to avoid Dylan.
Neighborhood social network index scores ranged from 0 6, scored on homeownership, neighborhood organization participation, residential tenure (5 19 years = 1, 20+ years = 2), strong feelings of belonging to her neighborhood, and knowing neighbors very well.
Compared with occasions when they engaged in protected anal intercourse (PAIC), when men engaged in UAIC they were more likely to report having previously met their partners (PAIC 45.9%; UAIC 54.9%), knowing them very well (PAIC 7.9%; UAIC 19.7%), and having previously had sex with them (PAIC 32.2%; UAIC 44.8%) (McNemar P < 0.001).
