Understanding Crit Rate and Crit Damage Optimization
In the world of RPGs, MMOs, and gacha games like Genshin Impact, Honkai: Star Rail, or World of Warcraft, maximizing your character's damage output (DPS) is often a mathematical balancing act. Two of the most important stats in this equation are Critical Rate (CR) and Critical Damage (CD).
This calculator helps you determine your Average Damage Output based on your total attack and crit stats. It also calculates your "Crit Value" (CV), a community-standard metric used to grade the quality of artifacts or gear pieces.
The Golden 1:2 Ratio
The Rule of Thumb: For optimal damage efficiency, you should aim for a 1:2 ratio. This means for every 1% of Crit Rate, you should have 2% of Crit Damage.
Why is this the golden ratio? Mathematically, if you have a limited "budget" of stats to distribute between Rate and Damage, the product of these two numbers (which determines your average damage multiplier) is highest when the ratio is 1:2.
Example A: 25% Rate / 150% DMG. (Ratio 1:6). Average Multiplier increase: 37.5%.
Example B: 50% Rate / 100% DMG. (Ratio 1:2). Average Multiplier increase: 50%.
Even though Example A has a higher "big number" when a crit lands, Example B will deal significantly more damage over time.
How Calculation Works
Understanding the math behind your damage can help you make better gear decisions. Here are the formulas used in this calculator:
1. Average Damage Formula
This is the most important number for sustained DPS. It calculates what your damage looks like on average, accounting for both critical and non-critical hits.
Note: If your Crit Rate exceeds 100%, it is capped at 100% for this calculation in most standard game mechanics.
2. Crit Value (CV)
Crit Value is a scoring system used primarily in artifact/gear grinding games to determine how "good" an item's offensive stats are. The formula weighs Rate twice as heavily as Damage because Rate is typically twice as rare or valuable in stat budgets.
CV = (Crit Rate × 2) + Crit Damage
10-20 CV: Decent start.
20-30 CV: Good piece.
30-40 CV: Excellent piece.
40+ CV: God-tier / Unicorn piece.
Optimizing Your Build
When using this calculator, if your "Current Ratio" is significantly far from 1:2, you may want to swap gear. If you have 80% Crit Rate but only 90% Crit Damage, you are over-invested in consistency and losing out on damage potential. Conversely, a build with 20% Rate and 200% Damage looks great in screenshots (damage per screenshot) but performs poorly in actual combat.
function calculateDPS() {
// 1. Get Input Values
var attackInput = document.getElementById("totalAttack").value;
var rateInput = document.getElementById("critRate").value;
var dmgInput = document.getElementById("critDmg").value;
// 2. Validate Inputs
if (attackInput === "" || rateInput === "" || dmgInput === "") {
alert("Please fill in all fields (Attack, Crit Rate, and Crit Damage) to calculate.");
return;
}
var atk = parseFloat(attackInput);
var rate = parseFloat(rateInput);
var cdmg = parseFloat(dmgInput);
if (isNaN(atk) || isNaN(rate) || isNaN(cdmg)) {
alert("Please enter valid numeric values.");
return;
}
if (atk < 0 || rate < 0 || cdmg 100% rate in standard formulas)
var effectiveRate = Math.min(rateDecimal, 1.0);
// Non-Crit Hit (Just the attack value)
var nonCritDamage = atk;
// Critical Hit (Attack + Attack * CDmg)
var critHitDamage = atk * (1 + cdmgDecimal);
// Average Damage (Attack * (1 + Rate * CDmg))
var avgDamage = atk * (1 + (effectiveRate * cdmgDecimal));
// Crit Value (Rate * 2 + CDmg) – Use raw input numbers, not decimals
var critValue = (rate * 2) + cdmg;
// Ratio Calculation
var ratio = 0;
if (rate > 0) {
ratio = cdmg / rate;
}
// 4. Update UI
document.getElementById("resBaseDmg").innerHTML = Math.round(nonCritDamage).toLocaleString();
document.getElementById("resCritHit").innerHTML = Math.round(critHitDamage).toLocaleString();
document.getElementById("resAvgDmg").innerHTML = Math.round(avgDamage).toLocaleString();
document.getElementById("resCV").innerHTML = critValue.toFixed(1);
var ratioText = "1:" + ratio.toFixed(2);
document.getElementById("resRatio").innerHTML = ratioText;
// 5. Generate Feedback
var feedback = document.getElementById("ratioFeedback");
var msg = "";
if (rate === 0) {
msg = "Analysis: You have 0% Crit Rate. You will never crit.";
} else {
if (ratio < 1.5) {
msg = "Analysis: Your Crit Damage is too low relative to your Crit Rate. Try to increase Crit Damage.";
} else if (ratio > 2.5) {
msg = "Analysis: Your Crit Damage is very high relative to your Crit Rate. You might get inconsistent damage. Try increasing Crit Rate for better average DPS.";
} else {
msg = "Analysis: Excellent! Your ratio is close to the golden 1:2 standard. This provides optimal average damage efficiency.";
}
}
// Check for Rate Overcap
if (rate > 100) {
msg += "Warning: Your Crit Rate is over 100%. Any value above 100% is wasted stats in most games.";
}
feedback.innerHTML = msg;
// Show results
document.getElementById("results").style.display = "block";
}