It didn't exactly switch over. First use of NC for the 303 was during WW1, and it continued making both NC and Cordite ammo concurrently until at least end of WW2, if not up until early 1950's.
The MkVII or MkVIII ammo with NC is suffix with a Z on headstamp.
Even the surplus NC z stamp ammo made during this time can still have corrosive primers, so should still be flushed out with boiling water immediately after shooting. I think they stopped using corrosive primers in the mid 50's, around the time the UK went over to the SLR and the 7.62x51 NATO round.
So, most British and Commonwealth 303 ammo made after about 1955 will be NC and non-corrosive primed.