Yield, FPY & scrap calculator
Reconcile every input unit, then separate what passed first time from what became good only after rework—and what was scrapped.
All units entering this one process in the observation period.
Units accepted without rework, rerun, repair or retest.
Units accepted only after the rework process you define.
Units assigned to scrap rather than accepted output.
- Rework rate
- 7.0% · 70
- Scrap rate
- 3.0% · 30
- First-pass loss
- 100
Disposition of every input unit
- Passed first time: 900
- Good after rework: 70
- Scrapped units: 30
Passed first time + good after rework + scrap = input units.
These rates describe unit disposition under your acceptance and rework definitions. They do not count defects or judge process performance.
Included
- First Pass Yield for units accepted without rework
- Final yield including units recovered through rework
- Rework and scrap counts and rates
- Exact reconciliation of all input units into three outcomes
Not included
- Defects per unit, defect opportunities or DPMO
- Rolled Throughput Yield across multiple process steps
- Rework or scrap cost estimates
- Quality targets, root-cause analysis or compliance decisions
What this means
First Pass Yield (FPY) is the share of input units accepted on their first pass, without rework, rerun, repair or retest. It exposes work that final yield alone can hide.
Final yield adds units that became acceptable after rework. In this exact three-outcome model, the difference between final yield and FPY is the rework rate.
Every input unit must be assigned once: passed first time, good after rework or scrapped. The calculator withholds all rates when those counts do not reconcile, rather than inventing an unaccounted category.
Formula & worked example
First Pass Yield = passed first time ÷ input units final good = passed first time + good after rework final yield = final good ÷ input units rework rate = good after rework ÷ input units scrap rate = scrapped units ÷ input units
1,000 input units: 900 passed first time, 70 good after rework and 30 scrapped
- First Pass Yield: 900 ÷ 1,000
- 90.0%
- Final yield: (900 + 70) ÷ 1,000
- 97.0%
- Rework and scrap rates
- 7.0% and 3.0%
All 1,000 units reconcile: 970 are finally good, but only 900 passed without rework.
How this calculation works
The calculation follows the formulas, definitions and assumptions explained on this page. The references below support the method and any stated boundaries.
Official sources
- ASQ — Quality glossary — First Pass Yield definition and exclusion of rework, retest and rerun
- NIST — Manufacturing KPI hierarchy — Separation of first-time quality, rework, scrap and quality after rework