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I am playing Pokemon GO and have caught an Eevee with 376 CP. How high will its CP be after evolving?

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This is a difficult question to answer without knowing how the server generates Pokemon evolutions but I'll try and push you to the answer you need.

Behind your Pokemon you will see a semicircle with a dot on it, this indicated what percentage your Pokemon is to achieving it's maximum cp (This number changes every profile level-up). your Eevee might for example have a max cp of 400 so your percentage would be around 93.75% of your Pokemon's maximum. Now when you evolve a Pokemon what happens is the new Pokemon gets that percentage applied to it (93.75%) but since it will now have a higher maximum cp, for example 1000, It's new cp will be 93.75% of 1000.

Now taking this into account, we don't actually know yet how the Pokemon's max cp scales with accounts, we can only guess, but it will be scaled to your pre-evolution Pokemon

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After Evolution you can expect an increase of ~150%*. In your case your Eevee (Vaporeon, Jolteon or Flareon) should have around 1000 CP*.

* Based on own game experience. (This only applies to Eevee.)

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    150% of 376 is 564. Am I missing something that would make it 1000? – Carl Kevinson Jul 14 '16 at 13:16
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    Yes, you missed the original CP. 564 + 376 = 940. It's increased by 150%. – dly Jul 14 '16 at 13:19
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    @CarlKevinson If you want to treat it like that, it's ~2.5x the pre-evolved strength, or ~250%, then your maths make sense. I never did like math word problems in high school... They always tricked me. – Timmy Jul 14 '16 at 16:40

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