Quality & Six Sigma

Rolled Throughput Yield Calculator

Multiply individual process step yields together to reveal true end-to-end performance — exposing hidden defects and the cumulative impact of variation across a multi-step process.

Formula
RTY = Y₁ × Y₂ × Y₃ ... × Yₙ

Enter your values

Enter the first-time yield (%) of each process step on a separate line. Anything between 0 and 100. Enter at least 2 valid yields between 0 and 100.
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Ready to calculate

Enter your values on the left, then press Calculate.

Rolled Throughput Yield
first-time-right end-to-end
Normalised yield
Total defect rate
RTY vs world-class (99%)
What this means

How it works

Understanding Rolled Throughput Yield

1

Why steps multiply

The probability of a unit passing through every step defect-free is the product of each step's yield. Five steps at 95% each look fine individually but only deliver 77% RTY — a quarter of units have a defect somewhere.

2

Hidden factory

RTY exposes the "hidden factory" of rework, scrap and inspection that plant-level yield numbers usually mask. Final yield can be 99% only because rework loops are quietly catching upstream defects.

3

Where to focus

The weakest step has the biggest leverage on RTY. Lifting the worst step from 90% to 98% will improve RTY more than any other change — even tiny improvements at the worst step beat moderate ones at already-strong steps.