That's too strong. For instance, multi-person and high-noise environments will still have room for improvement. Unpopular languages will lag behind in development. I'd consider "solved' to mean that the speech-processing element of a Babelfish-like vocal translator would work seamlessly across many many languages and virtually all environments.

I'd say it will be just below the level of a trained stenographer with something like 80% probability, and "solved" (somewhat above that level in many different languages) with 30% probability.

With 98% probability it will be good enough that your phone won't make you repeat yourself 3 times for a simple damn request for directions.