This is the 15311th most frequent Polish word.
skończywszy
"Skończywszy" means "having finished" in English.
Here, 'skończywszy' is a participle that denotes the completion of the action 'skończyć' (to finish) prior to the main action described (going on a break).
Skończywszy projekt, udał się na przerwę.
Having finished the project, he went on a break.
In this sentence, 'skończywszy' indicates that the action of finishing the conversation had been completed before she returned to her duties.
Skończywszy rozmowę, wróciła do swoich obowiązków.
Having finished the conversation, she returned to her duties.
In this example, 'skończywszy' reflects the sequence where the completion of reading led to the decision to take a walk.