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05-18-2011

Most people assume EHP is hard to calculate. It isnt, in addition to showing you why its easy I will show you how to do it.

**Table of Contents**

- Part 1 - Truly Understanding Armor
- Part 2 - Using Riots Formulas Against Them
- Part 3 - Finding Your EHP
- Part 4 - Weighing Item Choices
- Part 5 - Speedy Calculations
- Part 6 - Adjusting for Abilites and Items

Please do not skip part 1, but its up to you. All other parts, skip as you please.

When you hover your mouse over your armor or MR, it shows what percentage of damage you block. Now, this is swell for showing the value of your armor, but it lends itself very poorly to the math.Part 1 - truly understanding armor

Lots of people say that armor falls off as you buy more. The damage blocked certainly does, but EHP gains do not.

Consider if every point of armor blocked 10% damage, and you could only get 10 points. Well at 9 points you only take 1/10th of their damage. At 10 points you are invincible - quite a difference.

10% reduction: 111% ehp

20% reduction: 122.5% ehp

30% reduction: 142.8% ehp

40% reduction: 166.6% ehp

50% reduction: 200% ehp

So what does

So how do we do it then? Well you can take the reciprical of the damage you dont block to find your true hp, but thats the hard way, dont bother.

Instead lets do some algebra now to find a simpler way to do the math that we can count on our fingers.Part 2 - Use riots formulas against them!

(dont have to read unless interested)

Quote:

The (simple) damage formula is:

*D * 100 / (resistance + 100)*

Essentially EHP is how large a nuke would bring you down to exactly zero health. If you have 2000HP and 3000EHP, 2999 damage will not kill you and 3000 will. Sooo lets make our unknown EHP the damage we take, and have the result be our literal health.

EHP * 100 / (resistance + 100) = HP

and solve for EHP by multiplying both sides by (resistance + 100)

EHP * 100 = HP * (resistance + 100)

divide each side by 100 and you've got your formula.

EHP = HP * (resistance + 100) / 100

EHP = HP * ResistanceRatio

ResistanceRatio = (resistance+100)/100

ResistanceRatio = 100% + resistance/100%

**This is incredibly simple.** A trained monkey could do this.

Essentially EHP is how large a nuke would bring you down to exactly zero health. If you have 2000HP and 3000EHP, 2999 damage will not kill you and 3000 will. Sooo lets make our unknown EHP the damage we take, and have the result be our literal health.

EHP * 100 / (resistance + 100) = HP

and solve for EHP by multiplying both sides by (resistance + 100)

EHP * 100 = HP * (resistance + 100)

divide each side by 100 and you've got your formula.

EHP = HP * (resistance + 100) / 100

EHP = HP * ResistanceRatio

ResistanceRatio = (resistance+100)/100

ResistanceRatio = 100% + resistance/100%

Part 3 - Finding your EHP

1. add 100 to your armor or MR to find your defense rating

2. add % to the end that to get your Resistance Ratio.

3. multiply by health.

1. add 200 + your armor + your MR

2. divide that by two

3. add % to that to get your Resistance Ratio

4. multiply by health

An important thing people dont talk about much is your phys/mag specialization. I mean, everyone says to build MR versus mages and stuff, but its important that you dont too build wide or too narrow a gap. Use the guide below to find your gap.

1. subtract your armor from your MR, or the other way around

2. add % to that

3. multiply by health

(you could also subtract EphsHP by EmagHP, but this is easier)

Quote:

Originally Posted by **More examples**

This alone will hopefully help people in game go beyond "Dude I've got 4k hp and 120 armor!" Instead, 100+120 = 220% Resistance Ratio. So 4k * 220% = 8.8k EphysHP.

If you also have 80 MR, your Resistance Ratio is 180%, 4k * 180% = 7.2k EmagHP.

Making your overall Resistance Ratio 200+80+120=400, 400/2 = 200%. Meaning you have 8k EHP

If you keeps dieing to the many AD carries on the enemy team, dont just go WTF I have 50% more armor than MR! 120 - 80 = 40 extra armor. That 40% of your literal HP, only a 1600 health sway - not much. And thats if you ONLY take AD versus magic d

If you also have 80 MR, your Resistance Ratio is 180%, 4k * 180% = 7.2k EmagHP.

Making your overall Resistance Ratio 200+80+120=400, 400/2 = 200%. Meaning you have 8k EHP

If you keeps dieing to the many AD carries on the enemy team, dont just go WTF I have 50% more armor than MR! 120 - 80 = 40 extra armor. That 40% of your literal HP, only a 1600 health sway - not much. And thats if you ONLY take AD versus magic d

To start off, this is ALOT easier than you'd think! But its best to have a calculator, I'm guessing you're not great at dividing large, weird numbers. I use my phone.Part 4 - Weighing Item Choices

1. take that armor amount and add % (45 armor = 45%)

2. multiply that by your health

3. that is your phys/mag EHP. Divide by 2 to get overall EHP

4. divide the value you wish to maximize by the cost of the item

1. take the armor amount and add % (45 armor = 45%)

2. multiply that by health for your EphsHP

3. take the MR amount and add % (45 MR = 45%)

4. multiply that by health for your EmagHP

5. add your EphsHP and EmagHP and divide by two for overall EHP

6. divide your EHP by the cost of the item

7. OR if you dont care about phys/mag EHP, just add armor and MR together and use previous steps.

1. add 200 to your armor and MR.

2. divide by 2 and add percent (45+55 +200 = 150%)

3. Multiply health amount by that percentage (1k * 150% = 1.5k)

4. That is your overall EHP gain, divide by the cost of the item

1. Ignore the health and find the EHP gain from the armor/MR/both

2. find the health gain using your would-be-total-armor/MR

3. you can also do health first and armor second, up to you.

4. divide by cost of the item.

example: sunfire cape at 3k hp and 60 armor and 50 MR. 155% of 450 health = 700EHP, plus 45 armor is 45% of 3450 hp is 1552 EphsHP, which totals 1476EHP, which is 0.56 EHP per gold.

Part 5 - Speedy Calculations

Instead, I compare my resistance ratio to my health. With 100 armor my health items are doubly effective, and with 3000 health, 100 armor is worth 3000 EphsHP. Its pretty easy to compare Warmogs and Thornmail/FoN like this.

Similarly, you usually know your options (although people will usually exclude surprisingly viable ones such as Warmogs, stacking negatrons, and Spirit Visage). For instance, randuins or sunfire? Well its not hard to figure out the difference between 35 armor and 45 armor, and its not hard to figure out the difference between 350 and 450 health.

Remember to include any defensive sterioids. Remember that your shield as shen doesnt benefit from heath.Part 6 - Adjusting for abilities and items

More complex ones, Mundo's ultimate does NOT scale off of HP! It scales off of EHP! If you regenerate 1400 HP, and have 10000 armor, thats more effective than a warmogs!!! Same goes to malphites and maokais passives.

Flat armor pen (such as black cleaver) doesnt decrease the effectiveness of buying armor, it decreases the effectiveness of buying health. If you have 200 armor, thats 300% health effectiveness. Warmogs is looking very cost effective right now. But if they have 150 armor pen, thats only 150% health effectiveness. Get thornmail! (maybe)

% armor pen (Last Whisper/void staff) essentially makes armor half as effective. at 3k health, 100 armor only gets you 60% of 3k, 1.8k EphsHP. with thornmail thats 2000 gold for 900 EHP! Bad deal!

% true damage is countered by EHP. 8% true damage is always 8% of your effective HP. Dont worry, though, you still get 92% effectiveness from your EHP maximizing.

Flat true damage makes it important to get health. I find I am repeatedly killed by ignite as a tank. Dont underestimate the value of health!

Madreds blood razer is NOT very good! at 0 magic resistance it would take 50 attacks to kill you! But still, bust out the MR and stop stacking health against a madreds.

+5

Comment below rating threshold, click here to show it.

05-19-2011

I, for one, believe this is worth a bump.

Heres a simple TL: DR;

Buying health has 100% effectiveness, plus 1% for each point of armor. So 100 armor = health is twice as effective. (remember to compare armor AND magic resist)

Every point of armor you buy is 1% of your HP in additional EphsHP. So 3k hp, 1 point of armor is worth 30 HP. 100 armor would be worth 3k EphsHP.

Bumps from other people aren't required but are appreciated.

+0

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