How do you benchmark your GPU? Update: Now with chart ;-)

i use 3dmark personally. i think the version you download from futuremark is free, the version on steam is a different version (I think advanced edition)

One of the most popular is 3DMark
Others I use sometimes are Furmark, OCCT, MSI Kombuster.

You might also interested in MSI Afterburner as it can overclock your card, adjust voltage, fan speed, monitor FPS, VRAM, clock speed, etc.

I use sites (where you can input what card you have and what game you want to run) to compare cards.
A lot depends on the CPU and RAM too.

http://gpuboss.com/compare-gpus
there might be an equivilent one of this http://www.notebookcheck.net/Computer-Games-on-Laptop-Graphics-Cards.13849.0.html for pcs
as you can see you can enter specs and it benchmarks for you

I also have a FPS counter in games and I tweak settings at first, but quality is subject to how you play (for example I prefer running on high but I don't like things like motion blur).

unigine heaven is a good one too.

3d mark and unigine heaven, game benchmarks (like gta V or Shadow of Mordor)

It's not worth benchmarking sadly :(

super pi

try occt to burn all pc

I really like FFXIV Benchmarks. :) There has been 3 so far, you can get the latest one from the official website. It's surprisingly convenient for benchmarking as it shows the real-time graph of both your current performance as well as your Best / Previous / Specific score file.
Forgot to mention it's also very pretty, of course, has nice music and 5.1 sound.

Maybe try FurMark?

Like others have said, 3dmark is really good. I use the steam demo version regularly, it should give you access to Firestrike which is the benchmark made for dedicated GPUs

The built-in benchmark of Arkham City to see how it runs when sabotaged by UE3, then the Resident Evil 6 benchmark tool (separate and free on Steam as well) to see how it runs on a semi-decently optimised game. If I had it, I probably used the latest Hitman as well. Or Doom 4(I have it thanks to a generous person, just haven't started it yet to see if they have a benchmark in the game or not).
I really don't like 3Dmark because it is an open secret that all video card manufacturers cheat on it by releasing drivers that run it better than a standard 3D application. This is also why cards are tested with real games and synthetics are there just for the pretty score.

Valley is my choice for benchmark.
https://unigine.com/products/benchmarks/valley/

furmark is great

http://www.geeks3d.com/20160826/furmark-1-18-0-gpu-burner-opengl-benchmark/
(the download is the big yellow box )

If anyone is interested, the OP is now updated with a chart about my main PC GPU upgrade... ;-)

Out of curiosity, what model is your RX 470? (As a point of reference, your benchmark scores almost reach the numbers for my R9 290 [Sapphire Tri-X], which I find interesting).

Last time I benchmark anything it was with Tomb Raider (2013) and Bioshock Infinite. Both have internal benchmarks.