Rolled Throughput Yield

A multi-step quality KPI. If each stage is 95% FPY, RTY is much lower than 95%—the product reveals hidden factory loss.

RTY = product of stage first-pass yields (as decimals).

Tip: Keep “Stage 1 FPY (%)” and “Stage 2 FPY (%)” on the same basis (period, units, and population) before you calculate.

Cluster: Manufacturing hub · First-pass yield · Logistics hub · Percentage guide

Rolled throughput yield (RTY) multiplies sequential first-pass yields so rework loops do not hide cumulative loss.

Enter three stage first-pass yield percentages (use 100% for unused stages).

First-pass yield stage 1
First-pass yield stage 2
First-pass yield stage 3 (100 if unused)

Rolled Throughput Yield

Understanding Rolled Throughput Yield

How we calculate. RTY = product of stage first-pass yields (as decimals). See our methodology and accuracy policy .

Real-world scenario: A typical Rolled Throughput Yield case uses stage 1 fpy (%) 95 and stage 2 fpy (%) 98. Enter the same figures below to reproduce the worked path.

What is Rolled Throughput Yield?

A multi-step quality KPI. If each stage is 95% FPY, RTY is much lower than 95%—the product reveals hidden factory loss.

  • Stage yields as percents
  • Use 100% if a stage is N/A
  • Order matches process flow

The Formula

Rolled Throughput Yield
RTY % = (Y1 ÷ 100) × (Y2 ÷ 100) × (Y3 ÷ 100) × 100

Worked Example

Scenario: Stage yields 95%, 98%, and 97%.
Step 1: 0.95 × 0.98 × 0.97 = 0.90307
Step 2: × 100 ≈ 90.31%
Answer: 96.9% (part ÷ whole × 100; verified with this calculator).

Common Use Cases

  • Value-stream maps: cumulative yield
  • Process design: which step hurts most
  • Supplier chains: multi-op FPY product

Pro Tips

  • Don’t average stage yields
  • Add more stages offline if needed
  • Pair with single-step FPY
ScenarioWhen to use
Percent of a numberFinding a part of a whole (tax, tip, score)
Percent changeComparing old vs new values

Limitations: Rolled Throughput Yield results are educational manufacturing and lean/TPM planning aids—not process-safety, quality-system, or financial advice. Confirm definitions with your MES/SCADA and quality policies.

Common mistakes

  • Swapping part and whole: The denominator must be the full total, not a subset.
  • Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
  • Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

When to use this calculator

  • Use this page when your wording matches rolled throughput yield and the form labels on screen.
  • Use percent of a number for “what is X% of Y?” problems.
  • Use number is what percent when you know part and whole and need the percent.

Still unsure about rolled throughput yield? Start with the quick answer above, then open the linked calculator that matches your wording.

Frequently Asked Questions

How do I use this rolled throughput yield calculator?

For rolled throughput yield, enter the values labeled on the form, then press Calculate. Compare the result to the worked example on this page.

What formula does this page use?

See the quick answer and formula box above for rolled throughput yield—the same percentage calculator expression is applied to your inputs.

What if my result looks wrong?

When checking rolled throughput yield, re-check part vs whole (or rate vs base), rounding, and whether percents were entered as 25 rather than 0.25 when the form expects percents.

Authoritative References

For OEE and manufacturing KPI definitions, consult:

  • OEE.com — OEE definitions and examples
  • NIST MEP — manufacturing extension resources
  • ISO 22400 — manufacturing operations management KPIs (context)