There is some range depending on the size of the U.S. workforce and whether the petition is filed with premium processing. A rough range for a company with less than 25 FTEs would be $4,000 to $5,500. For a company with at least 25 FTEs, add $750 and if the petition is filed with premium processing, add $2,500.

What about cost in applying for a green card while on H-1B1?

Thanks for the detailed answer!

What is premium processing?

Case adjudicated within X calendar days. Typically, 15 calendar days for most types of petitions.

https://www.uscis.gov/forms/all-forms/how-do-i-request-premi...

To get the visa application processed in two weeks, else it will take up to 4 months or so.

All correct! But with an H-1B to H-1B transfer, the filing alone allows the sponsored employee to work so sometimes there's no need for premium processing.

It's like TSA pre but for certain steps in the USCIS flow chart.