If I clean the house, but you tell others that you did it, you are "taking credit" for cleaning the house.

To take credit for something is to receive recognition, praise, or approval for something, whether or not it is deserved.

<a href="https://idioms.thefreedictionary.com/take+credit+for" rel="noopener noreferrer" target="_blank">https://idioms.thefreedictionary.com/take+credit+for</a>;

For example imagine you work on a group project and everyone works really hard except for one person. When you do well, this person thanks everybody and accepts the praise, even though they did not participate.

According to her, she's taking credit for finding or letting her friend meet Paul. Taking credit means getting admiration of your efforts that may or may not deserve.

In first episode of "friends"

Some girl says "i take credit for Paul"