What is Equivalent Units Calculation?
Equivalent units measure how much work was really done in a period when some units are only partially finished at period-end. They convert partly-completed work-in-process into the equivalent number of fully completed units, so process costing can divide total costs fairly.
Under the weighted-average method, equivalent units equal the units completed and transferred out plus the ending work-in-process units multiplied by their percentage of completion.
- 1↓Count units completed & transferred outThese units are 100% complete for this department.
- 2↓Identify ending work-in-process unitsUnits still in the department at period-end.
- 3↓Estimate their percentage of completionHow far along the ending WIP units are, e.g. 40%.
- 4Add completed units + equivalent WIP unitsEU = Completed + (Ending WIP × % Complete).
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Step-by-step worked examples
A department completes and transfers out 8,000 units. Ending WIP is 2,000 units, 50% complete. Find equivalent units.
EU = Completed + (Ending WIP × % Complete) EU = 8,000 + (2,000 × 0.50) EU = 8,000 + 1,000 = 9,000 equivalent units
12,000 units are completed and transferred out. Ending WIP of 3,000 units is 25% complete. Find equivalent units.
EU = 12,000 + (3,000 × 0.25) EU = 12,000 + 750 = 12,750 equivalent units
A department finishes 5,000 units with no ending WIP this period. What are the equivalent units?
EU = Completed + (Ending WIP × % Complete) EU = 5,000 + (0 × 0%) EU = 5,000 equivalent units
Flashcards
Quick quiz
Q1.Equivalent units are used to...
Q2.Completed units = 10,000; ending WIP = 4,000 units at 25% complete. Equivalent units?
Q3.If ending WIP is 0 units, equivalent units equal...
Q4.Under the weighted-average method, beginning WIP is...
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Common mistakes
Counting ending WIP units as fully completed. — Correct: Multiply ending WIP units by their percentage of completion first.
Forgetting to add completed units to the WIP equivalent units. — Correct: Total EU = completed units + equivalent units in ending WIP.
Using 100% completion for all ending WIP units. — Correct: Use the actual estimated completion percentage, which is often below 100%.
Confusing physical units with equivalent units. — Correct: Physical units count every unit regardless of completion; equivalent units adjust for partial work.
FAQ
What is equivalent units calculation?
It's the method of converting partially completed units of work-in-process into the equivalent number of fully finished units for costing purposes.
What is the equivalent units formula?
EU = Units completed and transferred out + (Ending WIP units × % complete).
What are examples of equivalent units?
2,000 units that are 50% complete count as 1,000 equivalent units of work.
How do you calculate equivalent units under weighted-average?
Add units fully completed and transferred out to the ending WIP units multiplied by their percentage of completion.