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FPY calculator

Calculate First Pass Yield and Rolled Throughput Yield for single or multi-step manufacturing processes. Uncover hidden factory losses and identify your weakest process steps instantly.

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First Pass Yield calculator Free
Step 1
FPY (Step 1)
97.60%
RTY (Overall)
97.60%
Defect rate
2.40%
Good yield — RTY above 95%

FPY 97.60% with overall RTY 97.60% — process is performing well. Add more steps to calculate rolled throughput yield across your full process.

What is FPY and RTY, and how are they calculated?

First Pass Yield (FPY) measures the percentage of units that pass through a process step correctly the first time, without requiring any rework, repair, or re-inspection. It is one of the most important metrics in lean manufacturing because it reveals the true efficiency of each process step — before rework masks the real defect rate.

Rolled Throughput Yield (RTY) extends FPY across multiple sequential process steps by multiplying the individual FPY of each step together. RTY reveals the hidden factory — the cumulative effect of small yield losses at each step that compound into a much larger overall loss. A process with five steps, each at 95% FPY, has an RTY of only 77.4%, meaning nearly a quarter of all units require rework somewhere along the line.

FPY =(Units − Defects) / Units × 100%
RTY =FPY₁ × FPY₂ × ... × FPYₙ
Defect Rate =1 − RTY

The key difference between FPY and traditional yield metrics is that FPY excludes reworked units. Traditional “final yield” counts reworked units as good, hiding the cost of rework. If 100 units enter a process, 10 fail inspection, 8 are reworked successfully, and 2 are scrapped, the final yield is 98% but the FPY is only 90%. The 8% rework represents hidden cost, capacity loss, and quality risk.

The hidden factory is a Lean Six Sigma concept describing the invisible rework loops, re-inspections, and workarounds that consume resources without adding value. RTY quantifies the hidden factory by showing the true probability that a unit flows through the entire process without any intervention. Companies often discover that their actual throughput yield is 20–30 percentage points lower than their final yield suggests.

FPY is used in IATF 16949, ISO 9001, and lean manufacturing environments to identify the weakest process steps, prioritize improvement efforts, and track the impact of corrective actions over time. When combined with cost data, FPY enables accurate cost-of-poor-quality (COPQ) calculations that justify improvement investments.

To improve FPY, focus on the step with the lowest individual FPY first — this is where you get the most leverage. Root cause analysis tools such as fishbone diagrams, 5-Why analysis, and designed experiments (DOE) are commonly used to identify and eliminate the sources of first-pass failures.

FPY / RTYInterpretationTypical actionStatus
≥ 99%Excellent — world-class processMaintain and standardize✓ Excellent
≥ 95%Good — well-controlled processContinue monitoring✓ Good
≥ 85%Marginal — rework is consuming resourcesInvestigate top defect types⚠ Marginal
≥ 70%Poor — significant hidden factoryPrioritize improvement projects✗ Poor
< 70%Critical — process is not viableImmediate corrective action✗ Critical

Frequently asked questions about FPY

What is the difference between FPY and final yield?
First Pass Yield (FPY) counts only units that pass correctly the first time, without any rework or repair. Final yield includes reworked units that eventually pass. FPY reveals the true process efficiency, while final yield hides rework costs. A process with 90% FPY but 98% final yield has an 8% hidden rework burden.
How do you calculate Rolled Throughput Yield?
Rolled Throughput Yield (RTY) is calculated by multiplying the FPY of each sequential process step: RTY = FPY1 x FPY2 x ... x FPYn. For example, a 3-step process with FPY of 95%, 92%, and 97% has RTY = 0.95 x 0.92 x 0.97 = 84.7%. RTY shows the probability of a unit passing through the entire process without any defects.
What is the hidden factory?
The hidden factory is a Lean Six Sigma concept describing the rework loops, re-inspections, and workarounds that consume resources without adding value. RTY quantifies the hidden factory — the gap between RTY and final yield represents all the hidden rework. Companies often discover their actual throughput yield is 20-30 points lower than final yield suggests.
What is a good FPY value?
An FPY above 95% is generally considered good for a single process step. Above 99% is world-class. For RTY across multiple steps, the threshold depends on the number of steps — a 10-step process at 95% per step yields only 60% RTY. Focus on improving the step with the lowest individual FPY for the greatest impact.
How does FPY relate to cost of poor quality?
FPY directly impacts Cost of Poor Quality (COPQ). Every unit that fails first pass requires rework labor, materials, and capacity — reducing throughput and increasing cost. By measuring FPY per step, you can calculate rework costs at each stage and prioritize improvement investments where they deliver the highest ROI.
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