How does the lucky piggy 20% work?

[SpookieDookie]

When I put the lucky piggy next to a mana orb or buckler, it doesn't exactly add 20% increased chance of activation.

[.//slayer]

The 20% is not flat - it is a percentage of the current value. The buckler has 35% chance to activate by default. With another 20% on top it comes out to 42% in total.

[SpookieDookie]

Originally posted by .//slayer:

The 20% is not flat - it is a percentage of the current value. The buckler has 35% chance to activate by default. With another 20% on top it comes out to 42% in total.

Okay that makes sense, so it multiples the current percent by 120%.

[Furio]

Originally posted by SpookieDookie:

Okay that makes sense, so it multiples the current percent by 120%.

Sounds right. I believe it's called multiplicative stacking (if it added 20% it would be additive stacking).

I usually point it at Shields, ranger's Piercing Arrow or Carrots/Garlic.

[Lactose Intolerant Volcano God]

For anyone who's interested, see 'percentage point' vs. percentage. It's easy to mistake "percentage" for meaning "percentage point".

https://en.wikipedia.org/wiki/Percentage_point

Wikipedia gives the example that if the smoking rate decreases from 50% to 40%, then we can either say it decreased by 20% or that it decreased by 10 percentage points.

So if a chance for an event to occur was 35% and it then changed to 42%, we can say it either increased 20% or it increased by 7 percentage points.

[David]

Thanks for that LIVG, I've never heard of percentage points before but very familiar with the concept of flat vs multiplicative stacking.

It would definitely be helpful if more games used terminology of flat, multiplicative and "percentage points" etc.

Could you explain how the Flute's rate reduction works?
It is stated as "Triggers 10% faster for each Activated item"
However, it's neither strictly multiplicative nor flat. It's somewhere close to multiplicative, but slightly worse.
E.g. It's not 0.9^activations, it's close to 0.9^activations, but worse.

The base CD is 5s.
With 5 items the CD is 3.33s. That is close to a 33% reduction so maybe someone can figure out why.
multiplicative: 5*0.9^5=2.95 (or 5*.9*.9*.9*.9*.9)
flat: 5*0.5=2.5
With 6 items the CD is 3.13s.

[Bumc]

flute has its description misleading, its 10% speed increase per item.

So its 150% with 5 items (5/1.5 ~ 3.33) and 160% with 6 items (5/1.6 ~3.1)

[David]

Aha speed increase. That makes perfect sense, thank you. So it's flat scaling with diminishing returns.