Macroeconomics
Labour Productivity Decomposition Calculator
Decompose output growth into hours growth and output-per-hour growth.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Understand Labour Productivity Decomposition
One idea, three depths
Choose how deeply to explain Labour Productivity Decomposition
Labour Productivity Decomposition: Decompose output growth into hours growth and output-per-hour growth.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Labour Productivity Decomposition to answer this question: decompose output growth into hours growth and output-per-hour growth? Enter Real output growth, Employment growth, Average hours per worker growth, and 1 other input; the calculator shows Approximate labour productivity growth. Try changing one number and watch what happens to Approximate labour productivity growth. The answer tells you Approximate labour productivity growth.
Age 15Explain it to a 15-year-oldConnect it to the formula
The subtraction is a growth-accounting approximation; exact multiplicative decomposition differs slightly. The rule is Productivity growth ≈ output growth − total hours growth. Its input values are Real output growth (%), Employment growth (%), Average hours per worker growth (%), Capital-deepening contribution (%), and the main result is Approximate labour productivity growth. Try changing one number and watch what happens to Approximate labour productivity growth.
CollegeExplain it at college levelState the model precisely
This calculator evaluates a macroeconomics relationship while holding unmodelled conditions constant. The implemented relation is Productivity growth ≈ output growth − total hours growth, evaluated from Real output growth (%), Employment growth (%), Average hours per worker growth (%), Capital-deepening contribution (%) to produce Approximate labour productivity growth. The subtraction is a growth-accounting approximation; exact multiplicative decomposition differs slightly. The result depends on comparable definitions, units, populations and time periods. It estimates a relationship; it does not establish causation or replace current primary data.
The economic question
Decompose output growth into hours growth and output-per-hour growth.
Why this relationship is useful
The subtraction is a growth-accounting approximation; exact multiplicative decomposition differs slightly.
Inputs that must be comparable
- Real output growth measured in %.
- Employment growth measured in %.
- Average hours per worker growth measured in %.
- Capital-deepening contribution measured in %.
Use one market, firm, population and time period throughout; mixing definitions can make a correctly calculated number economically meaningless.
The model
Productivity growth ≈ output growth − total hours growth
From inputs to output
The calculator combines Real output growth, Employment growth, Average hours per worker growth, Capital-deepening contribution and reportsApproximate labour productivity growth together with Total labour-hours growth, Residual productivity beyond capital deepening. Change one assumption at a time to identify what actually drives the estimate.
How to read Approximate labour productivity growth
Read the sign, magnitude, unit and period together. The result quantifies the relationship in “decompose output growth into hours growth and output-per-hour growth”; it does not by itself prove that one input caused another.
Where interpretation can fail
Do not use the result when the input definitions, units or formula assumptions do not match the real situation. This is an educational model, not financial, investment, tax or policy advice; verify material decisions against primary data and professional guidance.
Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations
Standards, reading and academic references
Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.
Principles of Economics 3e
Read the free OpenStax economics textbookCite this book
- APA 7
- Greenlaw, S. A., Shapiro, D., & MacDonald, D. (2022). Principles of economics 3e. OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction
- MLA 9
- Greenlaw, Steven A., et al. Principles of Economics 3e. OpenStax, 2022, https://openstax.org/books/principles-economics-3e/pages/1-introduction.
- Chicago author-date
- Greenlaw, Steven A., David Shapiro, and Daniel MacDonald. 2022. Principles of Economics 3e. Houston, TX: OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction.
OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.
Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS
These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.
APA 7
MW SysArc. (2026, July 21). Labour Productivity Decomposition Calculator. MW SysArc Tools. https://economics.mwsysarc.com/macro/labour-productivity-decomposition
MLA 9
MW SysArc. “Labour Productivity Decomposition Calculator.” MW SysArc Tools, 21 July 2026, https://economics.mwsysarc.com/macro/labour-productivity-decomposition. Accessed 30 Aug. 2026.
Chicago 17
MW SysArc. “Labour Productivity Decomposition Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 30, 2026. https://economics.mwsysarc.com/macro/labour-productivity-decomposition.
Harvard
MW SysArc (2026) ‘Labour Productivity Decomposition Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://economics.mwsysarc.com/macro/labour-productivity-decomposition (Accessed: 30 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_labour_productivity_decomposition_2026,
author = {{MW SysArc}},
title = {Labour Productivity Decomposition Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://economics.mwsysarc.com/macro/labour-productivity-decomposition},
note = {Published July 21, 2026; accessed August 30, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Labour Productivity Decomposition Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-30
UR - https://economics.mwsysarc.com/macro/labour-productivity-decomposition
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Labour Productivity Decomposition do?
Decompose output growth into hours growth and output-per-hour growth.
How does the Labour Productivity Decomposition work?
The calculator applies this formula: Productivity growth ≈ output growth − total hours growth. The subtraction is a growth-accounting approximation; exact multiplicative decomposition differs slightly.
What can I learn from the Labour Productivity Decomposition?
It helps you explore the relationship described by this tool: Decompose output growth into hours growth and output-per-hour growth. Change one input at a time to observe how it affects the result.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the result as an estimate or educational aid. Check important financial, business or policy decisions with qualified sources and current data.
Last reviewed . Calculations tested .