You'll pretty much have to download a Cryptonote/Cryptonight miner to find out. My Ryzen 5 1600 is now doing >450 H/s average with XMR-stak in CPU-mining-only mode, but it took a lot of fiddling to get there without undue penalty to the computer's performance elsewhere (out of the box it did closer to 380 H/s). Claymore's CPU miner 3.9 is easier to set up, not quite as fast, but is much more adaptive to changes in load from you actually using the computer (that is, minimal hit to desktop interactivity); I get about 390-410 H/s out of it with the devfee disabled.
My older AMD FX-8300 - the generation prior to Ryzen - does a respectable 300 H/s with Claymore; I haven't fiddled around with XMR-stak on it because it is just a bare motherboard that I mainly use for testing each GPU I acquire.
However, my even older AMD Phenom II x4 955 - two generations back - barely manages 40 H/s and desktop interactivity is slowed to a crawl.
I hear older Intel Xeon servers (in 19" rack mount cases) do pretty well at Cryptonight mining; I might pick up a few to find out as GPUs are insanely expensive right now.