My husband is a contractor so I have a lot of access to resources but I haven’t found anything similar to this to take home to see in my space. I just liked this look and was looking for little more information

The look could be tile or it could be a vinyl or LVT or even sheet vinyl. It shouldn't be hard to find in one of those materials. I'd start with defining the type/price range of the material I wanted and looking from there. Have you been to a large flooring store?

Not exactly but close. https://www.tileshop.com/products/milano-grey-porcelain-wall-and-floor-tile---12-x-24-in.-681152?g2=color&c=grey&sc=

This is from the Tile Shop. Love them. I've gotten tile from many high end stores when the application called for something specific, but after many renovations, i find The Tile Shop can usually come close to what I want and they are super easy to work with and at a good price. Find one in your area and wander around. You can even purchase a single full size tile or two to try in your space and they take returns of full boxes if you order too much for the project.

It looks similar to Crossover (porcelain tile) which I bought from Nemo Tile. Mine is Argento color, which is lighter in real life than in the manufacturer’s photo. Nemo has showrooms on the east coast that are open to the public.

Thank yoi

https://www.tomhowley.co.uk/kitchens/grey-painted-kitchen/

So that kitchen was fabricated in Britain and I'm betting the floor is stone.

Here are some possible options that duplicate the appearance in porcelain tile here in the US.

https://www.flooranddecor.com/porcelain-tile/sundance-ii-matte-porcelain-tile-100594910.html#prefn1=look&prefn2=shape&prefv1=Cement+Look%7CStone+Look&prefv2=Rectangle&start=10

https://www.flooranddecor.com/porcelain-tile/district-gray-porcelain-tile-100581719.html#prefn1=look&prefn2=shape&prefv1=Cement+Look%7CStone+Look&prefv2=Rectangle&start=9

Those were all from Floor and Decor and there were others I could have posted.......take a look yourself.

https://www.flooranddecor.com/porcelain-tile#prefn1=look&prefn2=shape&prefv1=Cement%20Look%7CStone%20Look&prefv2=Rectangle

https://www.virginiatile.com/porcelain/?stone=stone&subfilters=yes&main_category=porcelain&subFiltersForm=APPLY#

May have too much variation, but Virginia Tile has great tiles.

http://gbitile.com/finish/antiqued/

http://haussmannstone.com/products/antique-flooring

check out floorsofstone from deVOL . I'd say that looks like tumbled edge travertine

What is it you like about the tile? You do realize that the photo has had the color messed with ... going for a black & white look. Look at the cabbage sitting on the counter on the right. I've never seen a cabbage that color!

This looks similar and they have several different shades to choose from: https://www.emser.com/collections/concrete-look/products/trovata?variant=19299224643

And must say I think seeing a photo to use for inspiration is what Houzz is all about.