Crit Rate & Crit Damage Calculator
Optimize your DPS (Damage Per Second) by calculating Average Damage Output.
Non-Critical Hit:
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Critical Hit:
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Average Damage (Expected Value):
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Current CR:CD Ratio:
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Understanding Crit Stats in RPGs
Whether you are playing Genshin Impact, Honkai: Star Rail, World of Warcraft, or any modern RPG, understanding the relationship between Critical Rate (CR) and Critical Damage (CD) is essential for maximizing your damage output. This calculator helps you determine your "Expected Value"—the average damage you deal over time considering both your critical hits and your normal hits.
The Formula for Average Damage
While seeing big yellow numbers on the screen is satisfying, the most consistent metric for DPS (Damage Per Second) is the average damage. The formula used by this calculator is:
Average Damage = Attack × (1 + (Crit Rate% × Crit Damage%))
Note: If your Crit Rate exceeds 100%, it is capped at 1, meaning every hit is a critical hit, and adding more Crit Rate yields no further benefit.
The 1:2 Golden Ratio
Optimization Rule: Mathematically, to get the highest average damage for a given "stat budget," you should aim for a 1:2 ratio. This means your Crit Damage should be exactly double your Crit Rate.
For example:
- 50% Crit Rate pairs best with 100% Crit Damage.
- 70% Crit Rate pairs best with 140% Crit Damage.
- 100% Crit Rate pairs best with 200% Crit Damage.
If you have 5% Crit Rate and 300% Crit Damage, you will see huge numbers very rarely, but your overall DPS will be lower than someone with balanced stats.
How to Interpret the Results
- Non-Critical Hit: The damage you deal when you do not land a crit. This is based purely on your Total Attack.
- Critical Hit: The damage number you see when you successfully crit.
- Average Damage: This is the most important number. It represents your long-term damage output. When comparing two artifacts or gear pieces, always choose the one that gives the higher Average Damage, regardless of whether the individual Crit numbers are smaller.