To convert AH to CDR:
\[ CDR = 1 - \left( \frac{1}{1 + \frac{AH}{100}} \right) \]
To convert CDR to AH:
\[ AH = 100 \times \left( \frac{1}{1 - \frac{CDR}{100}} - 1 \right) \]
Ability Haste (AH): A stat that reduces the cooldown of abilities, allowing them to be used more frequently.
Cooldown Reduction (CDR): The percentage by which the cooldown of abilities is reduced.
| AH | CDR | AH | CDR |
|---|---|---|---|
| 5 | 4.76% | 5.26 | 5.00% |
| 10 | 9.09% | 11.11 | 10.00% |
| 15 | 13.04% | 17.65 | 15.00% |
| 20 | 16.67% | 25.00 | 20.00% |
| 25 | 20.00% | 33.33 | 25.00% |
| 30 | 23.08% | 42.86 | 30.00% |
| 35 | 25.93% | 53.85 | 35.00% |
| 40 | 28.57% | 66.67 | 40.00% |
| 45 | 31.03% | 81.82 | 45.00% |
| 50 | 33.33% | 100.00 | 50.00% |
| 55 | 35.48% | 122.22 | 55.00% |
| 60 | 37.50% | 150.00 | 60.00% |
| 65 | 39.39% | 185.71 | 65.00% |
| 70 | 41.18% | 233.33 | 70.00% |
| 75 | 42.86% | 300.00 | 75.00% |
| 80 | 44.44% | 400.00 | 80.00% |
| 85 | 45.95% | 566.67 | 85.00% |
| 90 | 47.37% | 900.00 | 90.00% |
| 95 | 48.72% | 1900.00 | 95.00% |
Example 1: Convert AH to CDR
Step 1: Use the formula:
\[ CDR = 1 - \left( \frac{1}{1 + \frac{30}{100}} \right) = 1 - \left( \frac{1}{1.3} \right) = 1 - 0.7692 = 0.2308 \]
Step 2: Convert to percentage:
\[ CDR \approx 23.08\% \]
Example 2: Convert CDR to AH
Step 1: Use the formula:
\[ AH = 100 \times \left( \frac{1}{1 - \frac{20}{100}} - 1 \right) = 100 \times \left( \frac{1}{0.8} - 1 \right) = 100 \times \left( 1.25 - 1 \right) = 100 \times 0.25 = 25 \]