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Converters

PPM / DPMO / Yield Converter

Convert between PPM, DPMO, yield, and defect rate, with the corresponding Six Sigma level.

Yield = 1 − DPMO ÷ 10⁶

Quality 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 LevelDPMOYield %
6σ3.499.99966%
5σ23399.977%
4σ6,21099.379%
3σ66,80793.32%

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

MetricDefinition
PPMDefective units per million units produced — simple and widely understood
DPMODefects per million opportunities — accounts for several possible defects per unit
Yield %Share of units that pass without defects (100% − defect %)
DPUAverage defects per unit — can exceed 1 when units carry several defects

Key conversion formulas

DPMO ↔ yield
Yield % = (1 − DPMO ÷ 1,000,000) × 100
PPM ↔ defect rate
Defect rate = PPM ÷ 1,000,000
Yield ↔ defect rate
Defect rate = (100 − Yield %) ÷ 100
DPU ↔ 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 levelDPMOYield
6σ3.499.99966%
5σ23399.977%
4σ6,21099.379%
3σ66,80793.32%

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 = 200,000
DPMO
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 unitProducts have many defect opportunities
Only one critical defect matters per unitYou track several defect types independently
Reporting to non-specialists or customersRunning formal Six Sigma (DMAIC) projects
Tracking warranty or customer returnsComparing processes of different complexity