Here's how it breaks down:
* Thinking: This refers to the process of making decisions and formulating responses.
* On your feet: This implies being in a situation that requires immediate action, without the luxury of time to think beforehand.
Examples:
* "The presenter had to think on her feet when the projector malfunctioned."
* "The salesperson was able to think on his feet and answer the customer's unexpected question."
* "You need to be able to think on your feet to succeed in this job."
Essentially, "to think on your feet" is about being resourceful, adaptable, and quick-witted.