How do you calculate rolled throughput yield?

Multiply the yield of every step together. With steps at 98%, 97%, 99%, and 96%, RTY = 0.98 x 0.97 x 0.99 x 0.96 = 90.35%.

Why is rolled throughput yield lower than each step's yield?

Because losses compound. Every step has its own escape rate, so the chance of a unit surviving all four cleanly is the product of the four — 90.35% here, well below any single step's 96-99%.

What is the difference between RTY and final yield?

Final yield often counts reworked units as good, so it looks high. RTY measures first-pass survival through every step, exposing the true defect burden — here 965 of 10,000 units would not pass all steps cleanly.

What is a good rolled throughput yield?

It falls fast with more steps, so judge it against step count. For a four-step process, 90.35% is decent; world-class lines push each step above 99% so even ten steps still clear 90% RTY.

How does RTY relate to the hidden factory?

The 9.65% compounded loss rate is your hidden factory — the cumulative rework and scrap spread across all four steps that single-step metrics never add up. RTY makes that total visible in one number.

What does compounded loss rate mean?

It is 100% minus RTY — the share of input units that fail somewhere along the line. Here 9.65% of 10,000 units, or about 965 units, are lost across the four steps combined.

Quality calculator

Rolled Throughput Yield Calculator

Rolled throughput yield (RTY) is the probability that a unit passes through every step of a process with zero defects from start to finish. It is the metric that catches what single-step yields miss: losses compound, so four 96-99% steps do not give you 96-99% overall. Industrial and quality engineers use RTY to find the true cost of a multi-stage line and to expose the weakest link. Because it multiplies rather than averages step yields, RTY is brutally honest about where a long process actually leaks.

What this calculator does

Calculate total process yield by multiplying yield across sequential operations.
Use when a product passes through multiple steps and small losses compound into a larger final yield loss.
It multiplies the yields of each process step to give the end-to-end first-pass probability, then converts that to final good units and total compounded loss.

Formula used

RTY = step 1 yield × step 2 yield × step 3 yield × step 4 yield
Final good units = input units × RTY
Total loss = input units − final good units

Inputs explained

Step 1 yield: undefined
Step 2 yield: undefined
Step 3 yield: undefined
Step 4 yield: undefined
Input units: undefined

How to use the result

Use it for any sequential multi-step process where you need the real overall yield, not a flattering per-step average.
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.

Current U.S. benchmarks

U.S. manufacturing runs at 75.6% of capacity (Federal Reserve, May 2026). New factory orders are up 2.3% year over year (Census).

Common questions

How do you calculate rolled throughput yield? Multiply the yield of every step together. With steps at 98%, 97%, 99%, and 96%, RTY = 0.98 x 0.97 x 0.99 x 0.96 = 90.35%.
Why is rolled throughput yield lower than each step's yield? Because losses compound. Every step has its own escape rate, so the chance of a unit surviving all four cleanly is the product of the four — 90.35% here, well below any single step's 96-99%.
What is the difference between RTY and final yield? Final yield often counts reworked units as good, so it looks high. RTY measures first-pass survival through every step, exposing the true defect burden — here 965 of 10,000 units would not pass all steps cleanly.
What is a good rolled throughput yield? It falls fast with more steps, so judge it against step count. For a four-step process, 90.35% is decent; world-class lines push each step above 99% so even ten steps still clear 90% RTY.
How does RTY relate to the hidden factory? The 9.65% compounded loss rate is your hidden factory — the cumulative rework and scrap spread across all four steps that single-step metrics never add up. RTY makes that total visible in one number.

Last reviewed 2026-05-12.