Yes and it's "200 percent more", the more being the key bit. More being 100% + (200%), i.e. 300%, i.e. triple.

Is 100% faster equal to 1.00x?

200% faster means “on top of the 100% of the current speed”. Think about when a toilet roll says “25% more free” and the “normal” roll is 100 sheets. I’d expect the “more” roll to have 125, or expect to have a bonus 5th roll of 100 in a 4-pack.