How to calculate pi-type impedance matching circuit?
You have three "unknowns" &mdash; the three component values.

You have three "knowns" &mdash; the operating frequency, the required input impedance and the required output impedance.

You just need to set up the three simultaneous equations and solve them &mdash; it's simple algebra.

This paper goes into a lot more detail, including considerations of bandwidth: Improving the Bandwidth of Simple Matching Networks