~/devtools / multiplier
tool::multiplier

Scaling Calculator

Simulate game damage formula scaling with additive and multiplicative sources. Analyze marginal gain per source to instantly identify the most efficient buffs.

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Input mode
Increase amount
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Actual DPS increase
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// noteA 50% stat increase doesn't always mean 50% more damage. When additive buffs are heavily stacked, each additional additive bonus becomes less efficient. This calculator shows the real DPS increase based on your total stat.
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// about this tool

About Scaling Calculator

In game damage formulas, scaling splits into two types: additive and multiplicative. Additive sources are all summed together and applied to the base value once, while multiplicative sources each independently multiply the result. Which category a buff belongs to can make a huge difference to your final damage output. This is especially relevant in ARPGs like Path of Exile, Path of Exile 2, Torchlight Infinite, Last Epoch, and Diablo 4, where understanding additive vs multiplicative scaling is fundamental to build optimization.

Marginal gain measures how much stronger you actually become by adding a particular source. For additive sources, the more additive bonuses already stacked, the lower the marginal gain of each new one. Multiplicative sources always contribute proportionally to the current total. This calculator ranks each source's marginal gain so you can instantly see which buff offers the best return.

In the Scaling Sim tab, you can add up to 6 additive sources and 6 multiplicative sources. Within each multiplicative source, buffs can be processed as internally additive or internally multiplicative, letting you accurately reproduce complex game damage formulas.

Use cases
  • ▸Compare additive vs multiplicative scaling efficiency in Path of Exile and Path of Exile 2
  • ▸Analyze per-source marginal gain for build optimization in Torchlight Infinite or Last Epoch
  • ▸Calculate real DPS gain when swapping buff items in Diablo 4 and other ARPGs
  • ▸Determine optimal buff priority for your current build loadout
  • ▸Plan and simulate damage scaling across multiple additive and multiplicative sources
FAQ
Q. How are additive and multiplicative sources different?
Additive sources are all summed and applied to the base value as a single multiplier. Multiplicative sources each independently multiply the result. As more additive bonuses stack, the marginal gain of each new additive source decreases, while multiplicative sources always contribute at a fixed ratio.
Q. How is marginal gain calculated?
For additive sources: sourceTotal / (100 + totalAdditive - sourceTotal) × 100. For multiplicative sources: (factor - 1) × 100. A higher value means that source contributes more to your final damage.
Q. What is the difference between internal additive and internal multiplicative?
This setting controls how buffs within a multiplicative source are combined. Internal additive sums the buffs into a single multiplier, while internal multiplicative chains each buff as a separate multiplier. Check your game's damage formula to determine which applies.