In general, getting "an education" means going to school, long-term, to get a degree or certificate. It is usually a broad subject (like a college degree in Political Science, or English Literature). When you say someone is "educated" it means that they have devoted the necessary years to learning, and accomplished some major milestone. This is different than if you take training. In a business setting, you would already be educated before you are hired for the job, but once you're doing the job there might be additional skills you need, so you take training. So you might take training for a few hours or days to learn how to use the new accounting software, training to hone your presentation skills so you can better present to management. Training is usually a short course, that has very narrow scope, and it teaches you a discreet skill. Be aware of possible negative meanings to this word: When you teach a dog to sit when you say “sit” this is called training the dog because you’re teaching him a discreet skill. It is not a compliment to say someone is “well-trained” because this implies that dog scenario. If you took that accounting software training at work, you would say “I am proficient in using accounting software” or “I’m skilled at using accounting software” but you would not normally say “I’m trained in accounting software.”

Training comes after your education when you get a job.