I'm pretty sure when it says "base damage" for
Tough It Out, it just means a flat value. As opposed to the damage you gain based off of your % max health.
So no, it wouldn't buff
Sheen procs or anything.
Unless I'm wrong. But I don't think I am.

So no, it wouldn't buff

Unless I'm wrong. But I don't think I am.

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Read closely.
Olaf's damage is increased by---
Not Olaf's base damage. Olaf's damage.
They later mention a base damage + 1% HP. I think they were just trying to be clear. :P
The increase is not the base damage. Base damage cannot be increased. ^^
That being said, Olaf is king.
Olaf's damage is increased by---
Not Olaf's base damage. Olaf's damage.
They later mention a base damage + 1% HP. I think they were just trying to be clear. :P
The increase is not the base damage. Base damage cannot be increased. ^^
That being said, Olaf is king.

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It uses the flat value as a base, and then adds the percentage on top of that value to get the combined total damage increase. It does not increase olaf's base damage, but the base damage of the skill is added to his damage.
So no, it will not give a higher damage sheen proc. Unfortunately. :/
So no, it will not give a higher damage sheen proc. Unfortunately. :/

The whole point of "base damage" is that it only differs between champions. It cannot be increased by items, runes, masteries, buffs or abilities.

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e.g. 135x100% instead of 100x100%