Hi,
No firm publishes this, so anything you read is an estimate. My understanding of your question is about the resume screening stage, so: for experienced hires that's the hardest filter in the process, and the pass rate is low, typically in the low single digits. It varies enormously by profile though. A referral can move your odds far above that number.
On timing, expect a few days to two weeks, with about a week being most common. Experienced hire pipelines move less predictably than campus ones, because the recruiter often needs to align with the practice or office before scheduling. A slow reply isn't a bad sign. After two weeks, a short follow-up email is appropriate.
Franco
