Link to images of Cuban oregano. https://www.google.com/search?q=plectranthus++amboinicus+variegated&tbm=isch&tbo=u&source=univ&sa=X&ved=0ahUKEwiMubHAxZXVAhXn64MKHcs8ChwQ7AkIRg&biw=2144&bih=1015#imgrc=K2VpFVxmhMKb1M:

I can’t be certain of of the plant ID. But with the aromatic leaves you had mentioned this looks similar to a variegated Plectranthus amboinicus syn. Coleus amboinicus (?). Among its many common names are Cuban oregano, Spanish thyme, big leaf thyme etc… It is use for seasoning in cooking. But we do need flowers from yours for confirmation if this the Cuban oregano. According to ASPCA, Cuban oregano is toxic to cats. Perhaps you can check around in the local nurseries that carrying Cuban oregano then take a sample from your plant to the site and have a sniff test and see if yours & theirs smell the same. If this isn’t that, make new post when it blooms with flowers photo. Best wishes! http://www.gardenswag.com/2012/07/plants-poisonous-to-cats-and-dogs/