Quality worked example

Rolled Throughput Yield at 99% step 1 yield: a worked example

What does the result look like when step 1 yield reaches 99%? The full calculation is worked below with real intermediate numbers. Use when a product passes through multiple steps and small losses compound into a larger final yield loss.

The inputs for this scenario

  • Step 1 yield: 99 % (raised for this scenario; the documented default is 98)
  • Step 2 yield: 97 % (unchanged)
  • Step 3 yield: 99 % (unchanged)
  • Step 4 yield: 96 % (unchanged)
  • Input units: 10,000 units (unchanged)

Working through the calculation

  • Applying the documented formula (RTY = step 1 yield × step 2 yield × step 3 yield × step 4 yield) to the inputs above produces each figure below.
  • At this operating point the engine returns 91.27 % for rolled throughput yield, the number this scenario is built around.
  • At this operating point the engine returns 9,127 units for final good units.
  • At this operating point the engine returns 873 units for total loss.
  • At this operating point the engine returns 8.73 % for compounded loss rate.

How this compares with the baseline

  • Against the tool's baseline example, where step 1 yield sits at 98% and the headline result is 90.35 %, this scenario comes in 1.02% above the baseline at 91.27 %.
  • A figure at this level is achievable when step 1 yield is genuinely sustained, not just peaked for a shift. RTY assumes step yields are independent; if a defect at one step systematically causes failures downstream, the true loss can differ from the simple product.

Results at a glance

  • Rolled throughput yield: 91.27 % (headline result)
  • Final good units: 9,127 units
  • Total loss: 873 units
  • Compounded loss rate: 8.73 %

Run it with your numbers

  • Every input above is editable in the live Rolled Throughput Yield calculator, which recalculates instantly and can be shared with the inputs intact.

Last reviewed 2026-05-12.