Emerald Bling Pendant

[Babda]

the gemshop is stating that you get x3 money but the pendant only gives +200% so am i reading stuff wrong?

[Aurelius]

+200% would be 300% total, so 3x. Sounds right.

[Babda]

Nguyên văn bởi Aurelius:

+200% would be 300% total, so 3x. Sounds right.

Waht? where do you draw the extra 100% from?

[MegaMidboss]

100% is the unmodified amount when working with percentages. If you get 50% off on a sale you pay the remaining 50%. If something costs 100% more gold, the final price you pay ends up being 100% base gold + 100% additional gold = 200% total gold which you would calculate by multiplying the original price by 2.

In this case the pendant is being advertised as providing 3 times more gold. So that would come to 100% base value + 200% for the additional gold for 300% total gold. Which you would calculate by multiplying the original gold obtained by 3.

I suppose an argument could be made about whether an amulet that says it provides 3 times more gold could be misunderstood as 3 times plus what you're already getting versus just 3 times more. Because percentages and word problems are a pain in the ass. That would end up being 100% base gold + 300% additional gold for a total of 400% gold in the end. Which you would calculate by multiplying the original amount by 4. But, to use a real world example here, if someone says they're going to double or triple your salary they end up adding 100% or 200% to your existing 100%.

[Babda]

Nguyên văn bởi MegaMidboss:

100% is the unmodified amount when working with percentages. If you get 50% off on a sale you pay the remaining 50%. If something costs 100% more gold, the final price you pay ends up being 100% base gold + 100% additional gold = 200% total gold which you would calculate by multiplying the original price by 2.

In this case the pendant is being advertised as providing 3 times more gold. So that would come to 100% base value + 200% for the additional gold for 300% total gold. Which you would calculate by multiplying the original gold obtained by 3.

I suppose an argument could be made about whether an amulet that says it provides 3 times more gold could be misunderstood as 3 times plus what you're already getting versus just 3 times more. Because percentages and word problems are a pain in the ass. That would end up being 100% base gold + 300% additional gold for a total of 400% gold in the end. Which you would calculate by multiplying the original amount by 4. But, to use a real world example here, if someone says they're going to double or triple your salary they end up adding 100% or 200% to your existing 100%.

Sounds logical and also extremly unnecessary complicated, just making it 300% to make it visually confirming the "x3 money" would be less complicated and lead to less missunderstanding. but well. thank you.

[lisskinss]

+200% and x3 is not the same
if you salary is 50$ a day, but you get tips and bonuses, you can end with 350$
and then you get another job offer to TRIPLE you salary and make it 150$ a day
but there are no bonuses and tips
so you make less money!
so it's scam
you get [phone]% from other bonuses in the game and when it's become 1000000200% you dont even notice it

[Dustreaper]

Also with a game so heavy numbers he should add something to bonuses to define if they are base modifiers ,multiplier or just additive. This necklace did increase my gain by x3 from 5 to 16 blue coins (whatever they are called)

[MegaMidboss]

It would be nice to see the math going on behind the scenes. Idleontoolbox breaks down the cash multiplier into categories like achievements, arcade and artifacts, if you go to characters at the top and filter at the bottom left by stats. But it doesn't say which numbers are additive or multiplicative. It also doesn't break down those categories into subcategories to say how I am getting a 44 cash multiplier from equipment without the pendent equipped. It doesn’t help that ChatGPT keeps saying my probably busted math is correct and doesn't seem to explain very well the logical pitfalls that I think I am making.

ChatGPT says the formula used is probably Final Amount = Base × (1 + Total Additive Bonuses) × (Each Multiplicative Modifier) if there are both additive and multiplicative gold modifiers on gear in this game (I don't know if IdleOn has only one type or both types). ChatGPT also says the multiplicative portion defaults to 1 if there is no multiplicative gear equipped. It also seems to be explaining that the additive portion is going to have linear growth while the multiplicative portion has quadratic growth. And my results below match a linear line with 1 piece of gear and match a quadratic curve when there is more than 1 piece of gold gear being multiplied. So let me know if the math below is any clearer.

---- one piece of gear modifying gold gain ----

One additive 100% gold gear piece
100 base gold * (1 + 1) * (1)
100 * 2 * 1
200 * 1
200 gold total

One additive 200% gold gear piece (this was the result I was thinking of for my previous response. Since it has the same end gold result as the "One multiplicative 300% gold gear piece", that was why I used the 100% + 200% calculation as a replacement for multiplying by 3. Because the question was how can an additive 200% equal the same as multiplying by 3.)
100 base gold * (1 + 2) * (1) is equivalent to 100 base gold * (1 + 0) * (3) since both result in 300 gold using fancy algebra I've mostly forgotten.
100 * 3 * 1
300 * 1
300 gold total

One additive 300% gold gear piece.
100 base gold * (1 + 3) * (1)
100 * 4 * 1
400 * 1
400 gold total

One multiplicative 100% gold gear piece.
100 base gold * (1 + 0) * (1)
100 * 1 * 1
100 * 1
100 gold total

One multiplicative 200% gold gear piece.
100 base gold * (1 + 0) * (2)
100 * 1 * 2
100 * 2
200 gold total

One multiplicative 300% gold gear piece.
100 base gold * (1 + 0) * (3) which is equivalent in the end to 100 base gold * (1 + 2) * (1)
100 * 1 * 3
100 * 3
300 gold total

---- Two pieces of gear modifying gold gain. ----
This section is where you can do the same type of math I presented elsewhere with 100% + 200% = multiplying a result by 3. 100% + 200% can instead be expressed as 100% + 100% + 100%.

Two additive 100% gold gear pieces.
100 base gold * (1 + 1 + 1) * (1)
100 * 3 * 1
300 * 1
300 gold total

Two additive 200% gold gear pieces.
100 base gold * (1 + 2 + 2) * (1)
100 * 5 * 1
500 * 1
500 gold total

Two additive 300% gold gear pieces.
100 base gold * (1 + 3 + 3) * (1)
100 * 7 * 1
700 * 1
700 gold total

This is where you can no longer easily make the additive math equal the same as the multiplicative math. Since the results are no longer linear, it becomes harder to match the additive and multiplicative results.
Two multiplicative 100% gold gear pieces.
100 base gold * (1 + 0) * (1 * 1)
100 * 1 * 1
100 * 1
100 gold total

Two multiplicative 200% gold gear pieces.
100 base gold * (1 + 0) * (2 * 2)
100 * 1 * 4
100 * 4
400 gold total

Two multiplicative 300% gold gear pieces.
100 base gold * (1 + 0) * (3 * 3)
100 * 1 * 9
100 * 9
900 gold total

Also, I think ChatGPT says if I still wanted to use the "boss giving a raise" example, tripling pay is 100×3=300. Adding 200% to the base 100% pay is equivalent to multiplying by 3, "since 100% base + 200% increase = 300% total".

At any rate, if a boss gives two separate 100% wage increases, then it would not be linear. Your wages would go from $100 to $200 to $400.

ChatGPT also says most tips from a job would fall under additive pay increases. Meanwhile working overtime, getting percentage based commission (like 10% of a sale), or getting hazard pay would usually be calculated multiplicatively.

tl;dr Algebra was halfassed by me. In the end, I had 5,523,019.95 gold gain according to the vault before equipping the pendent. After equipping it I had 16.5 million gold gain.