This is the 4158th most frequent Polish word.
całkowity
"Całkowity" means "complete" or "total" in English.
Here, 'całkowitą' is used as an adjective modifying 'odpowiedzialność', illustrating the concept of being full or complete.
On ma całkowitą odpowiedzialność za projekt.
He has complete responsibility for the project.
This usage of 'całkowicie' as an adverb emphasizes the degree of unexpectedness, indicating totality.
Wynik był całkowicie niespodziewany.
The result was completely unexpected.
In this sentence, 'całkowity' is an adjective describing 'koszt', signifying the aggregate sum or entirety.