%INT vs MA

Wanted to know when %INT will be better than a flat +MA bonus.

More specifically, 27%INT versus 13MA.

More specifically, 27%INT versus 13MA.

Wow.

If that's the case, then it'll almost always been better than 13 MA.

Magic Attack always vary when trying to translate it to INT. But going by the ever-so-popular 1MA = 5INT, once you get to about 315 INT, you're benefiting from the %INT item.

That's unless 13MA is more than 27% of your current TMA (i.e. if you only have 48TMA) =P

Hadriel

To know which one is better, just see which one is greater:

(1+(int% with that 27% item))/(1+(int% without that 27% item)) or (Total Magic Attack with that 13matk item)/(Total Magic Attack without that 13matk item)

Whichever gives the biggest number is your best choice.

Usually, 1% Int = 1 M.Att, at least for me.

When the following ratio is greater than 1, 27% INT is better. When the following ratio is less than 1, 13 MA is better.

(4*(TotalINT)+0.27*(BaseINT)+LUK)*MA
(4*(TotalINT)+LUK)*(MA+13)

In the numerator, you should floor the BaseINT when you're multiplying it by 0.27. If you get more out of 13 MA than 27% INT, that means you are weak and probably shouldn't be pondering this question.

Open your stat window and find the following numbers: TotalInt, BaseInt, TotalLuk, DamageRangeMax.

Then calculate the following number: (4 TotalInt + TotalLuk)^2 *0.12037/BaseInt

If your DamageRangeMax is higher then this number, +27% Int is better, otherwise +13 M.Atk is better.

(4 TotalInt + TotalLuk)^2 *12.037/BaseInt

And where did that formula come from?

Small nitpick, it should be (4 TotalInt + TotalLuk)^2 *0.12037/BaseInt

--Warning: Boring Calculations. Skip this post if you're not interested --

First. The damage formula for magicians is (with Dam = DamRangeMax) Dam = (4 Int + Luk) * MAtk * 1.00/100.

Writing as a function of MAtk (since MAtk is unknown), you get MAtk = 100 Dam/(4 Int + Luk)

Next, to compare the two equips, we split Int in BaseInt and OtherInt. Then we compare changing BaseInt -> 1.27 BaseInt vs 100 Dam/(4 Int + Luk) -> 100 Dam/(4 Int + Luk) +13, we get the equation:

(4*1.27 BaseInt + 4 OtherInt + Luk) *100 Dam/(4 BaseInt + 4 OtherInt + Luk) = (4 BaseInt + 4 OtherInt + Luk) * (100 Dam/(4 BaseInt + 4 OtherInt + Luk) + 13)

(The BaseInt in the denominator is unchanged because you used your Int from before the modifications to determine your MAtk)

Then I let a computer solve this equation (since it's both faster and makes less errors): click here for the result

Lastly, I put some numbers from above and below the Dam result, and concluded that if you're above the number, 27% Int is better, and below +13 M.Atk is better.