Converters
PPM / DPMO / Yield Converter
Convert between PPM, DPMO, yield, and defect rate, with the corresponding Six Sigma level.
Yield = 1 − DPMO ÷ 10⁶Quality Metrics Converter
3.4
Six Sigma Level: ≥6σ
All Conversions
PPM (Parts Per Million):3.4
Yield %:99.9997%
Yield (Decimal):0.999997
Defect Rate (Decimal):0.0000034
DPU (Defects Per Unit):0.00000340001
Six Sigma Quality Levels
| Sigma Level | DPMO | Yield % |
|---|---|---|
| 6σ | 3.4 | 99.99966% |
| 5σ | 233 | 99.977% |
| 4σ | 6,210 | 99.379% |
| 3σ | 66,807 | 93.32% |
Common Use Cases
- •Six Sigma Projects: Convert between DPMO and yield for process capability analysis
- •Manufacturing Quality: Translate PPM defect rates to yield percentages
- •Process Benchmarking: Compare quality metrics across different reporting standards
- •Quality Goals: Set targets in preferred units (99.9% yield vs 1000 PPM)
Quality metric definitions
| Metric | Definition |
|---|---|
| PPM | Defective units per million units produced — simple and widely understood |
| DPMO | Defects per million opportunities — accounts for several possible defects per unit |
| Yield % | Share of units that pass without defects (100% − defect %) |
| DPU | Average defects per unit — can exceed 1 when units carry several defects |
Key conversion formulas
DPMO ↔ yield
Yield % = (1 − DPMO ÷ 1,000,000) × 100PPM ↔ defect rate
Defect rate = PPM ÷ 1,000,000Yield ↔ defect rate
Defect rate = (100 − Yield %) ÷ 100DPU ↔ yield (Poisson)
Yield = e^(−DPU)Six Sigma quality levels
Six Sigma uses DPMO to express process level, including the conventional 1.5σ shift for long-term drift:
| Sigma level | DPMO | Yield |
|---|---|---|
| 6σ | 3.4 | 99.99966% |
| 5σ | 233 | 99.977% |
| 4σ | 6,210 | 99.379% |
| 3σ | 66,807 | 93.32% |
Worked examples
PPM to yield. A line runs at 1,000 PPM defective.
Yield
(1 − 1,000 ÷ 1,000,000) × 100 = 99.9%That corresponds to roughly a 4.6σ process level.
DPMO with multiple opportunities. A product has 20 critical characteristics; 50 defects are found in 10,000 units.
Opportunities
10,000 × 20 = 200,000DPMO
50 ÷ 200,000 × 1,000,000 = 250 (≈ 5σ)PPM vs DPMO: when to use which
| Use PPM when… | Use DPMO when… |
|---|---|
| The result is pass/fail per unit | Products have many defect opportunities |
| Only one critical defect matters per unit | You track several defect types independently |
| Reporting to non-specialists or customers | Running formal Six Sigma (DMAIC) projects |
| Tracking warranty or customer returns | Comparing processes of different complexity |