My basement floor has been made amazingly gross (thank you, cats) and I'd like to get it really clean. Is there an option other than scrubbing on hands and knees? Are there cleaning solutions that work well on concrete? Do I have to worry about damaging the floor? There's no drain anywhere.
Is this a finished concrete floor or raw slab? If slab, I'd suggest low-power pressure wash...maybe even start with just the garden-hose attachment. Add a bit of soap.
The real challenge, however, is that you have no drains. I can't think of an easy way to get around that short of power wash a bit, shop vac it up, and then constantly repeat until the shop vac is full, then empty that into a sink and repeat.
You could use acid with water and a hard brush, but be really sure to have forced ventilation and the proper mask and safety gear.
I used this to clean decorative stones in my garden.