The first time a cat does it, most owners pull back or nudge the animal away. That reaction makes sense from a human perspective, but from the cat's side of things, the gesture was a compliment.
What cats do with each other
Cats greet familiar cats by approaching nose-first and then offering their hindquarters for a sniff. The anal glands on either side of the base of the tail carry a dense packet of chemical information: the cat's identity, its reproductive status, its health, and something of its emotional state. Among cats, sniffing this area is the equivalent of a firm handshake followed by a detailed introduction. The offering cat holds its tail upright and turns away, a deliberate presentation, not an accident of positioning.
Why your cat does it to you
Cats extend this greeting to people they regard as social companions rather than strangers. When your cat backs into your face or drops its rear end in your lap, it is categorising you as a trusted member of its social group and inviting the kind of exchange it would have with another cat. You cannot smell what the glands are saying, but the cat does not know that. The raised tail that comes with it is a separate signal: in cat body language, a vertical tail held high is a marker of confidence and friendly intent. The two together, tail up, rear presented, form one coherent social gesture.
What it tells you about the cat's state of mind
A cat that does this is relaxed, unthreatened, and choosing to initiate contact. It is not a demand for food or play. It is closer to a check-in: the cat is acknowledging your presence in a way that costs it something, turning its back requires a level of trust, because a cat facing away cannot watch for threats. The behaviour tends to appear when the cat has just woken up, when you have come home, or when it has settled near you and decided to make the interaction more deliberate. Cats that do not trust their owners rarely do it at all.
How to respond without confusing the cat
You do not need to sniff back. A slow blink in the cat's direction, a gentle scratch at the base of the tail where it meets the back, or simply letting the cat complete the gesture and move on are all appropriate responses. The scratch at the tail base is particularly well-received: most cats have a concentration of nerve endings there and respond with visible pleasure, often pressing down and raising the hindquarters further. Pushing the cat away or reacting with alarm disrupts what the cat understood as a friendly exchange and can make it less likely to initiate contact in the future.
When the behaviour changes
Occasional rear-presenting is normal social behaviour. If a cat that has never done it suddenly starts, that is simply a cat that has grown more comfortable with you, no cause for concern. A different pattern is worth noting: a cat that repeatedly presents its rear end and also scoots across the floor, licks excessively around the base of its tail, or seems uncomfortable sitting is showing signs that the anal glands may be full, impacted, or infected. That combination warrants a vet visit, not because the greeting behaviour itself is a problem, but because the physical discomfort signals something the vet needs to assess. The greeting and the discomfort look superficially similar; the difference is in the rest of the cat's behaviour around it.