Mathematics · Statistics

Architectural Daylight Factor Calculator

Calculate daylight factor percentage from indoor daylight illuminance and simultaneous unobstructed outdoor illuminance.

Runs locally
Your numbers

Inputs and results stay in this browser. Change one value at a time to explore the relationship.

Your inputCalculatedPassed forward in chains
daylight factor percentage4.5

Calculation steps

  1. Use c=100a/b with indoor daylight illuminance=450 and simultaneous unobstructed outdoor illuminance=10000.
  2. daylight factor percentage=4.5.

Understand Architectural Daylight Factor

One idea, three depths

Choose how deeply to explain Architectural Daylight Factor

Architectural Daylight Factor: Calculate daylight factor percentage from indoor daylight illuminance and simultaneous unobstructed outdoor illuminance.

Age 5Explain it to a 5-year-oldStart with a picture

Imagine using Architectural Daylight Factor to answer this question: calculate daylight factor percentage from indoor daylight illuminance and simultaneous unobstructed outdoor illuminance? Enter indoor daylight illuminance and simultaneous unobstructed outdoor illuminance; the calculator shows daylight factor percentage. For example: indoor daylight illuminance=450 and simultaneous unobstructed outdoor illuminance=10000 produce daylight factor percentage=4.5. The answer tells you daylight factor percentage.

Age 15Explain it to a 15-year-oldConnect it to the formula

Daylight factor compares indoor daylight illuminance with simultaneous outdoor horizontal illuminance under the stated sky. This page evaluates the relationship directly. The rule is c=100a/b. Its input values are indoor daylight illuminance, simultaneous unobstructed outdoor illuminance, and the main result is daylight factor percentage. For example: indoor daylight illuminance=450 and simultaneous unobstructed outdoor illuminance=10000 produce daylight factor percentage=4.5.

CollegeExplain it at college levelState the model precisely

This calculator evaluates the stated architectural daylight factor relation over the valid real-number domain stated below. The implemented relation is c=100a/b, evaluated from indoor daylight illuminance, simultaneous unobstructed outdoor illuminance to produce daylight factor percentage. Daylight factor compares indoor daylight illuminance with simultaneous outdoor horizontal illuminance under the stated sky. This page evaluates the relationship directly. Direct sun, sensor mismatch, shading state, glazing dirt, and differing timestamps invalidate the simple ratio.

Inputs and valid domain

  • indoor daylight illuminance must be a finite real number.
  • simultaneous unobstructed outdoor illuminance must be a finite real number.

Important boundary: Direct sun, sensor mismatch, shading state, glazing dirt, and differing timestamps invalidate the simple ratio.

The formula

c=100a/b

How the calculator works through it

It substitutes indoor daylight illuminance, simultaneous unobstructed outdoor illuminance into the formula and exposes every numerical step above. The main output is daylight factor percentage.

Read the result correctly

The daylight factor percentage is the direct answer to “calculate daylight factor percentage from indoor daylight illuminance and simultaneous unobstructed outdoor illuminance.” Read it with the units shown beside the inputs; a sign, angle, percentage or rate changes what the number means.

A worked check

indoor daylight illuminance=450 and simultaneous unobstructed outdoor illuminance=10000 produce daylight factor percentage=4.5.

Where this model stops being reliable

Direct sun, sensor mismatch, shading state, glazing dirt, and differing timestamps invalidate the simple ratio.

Learn it by changing one value

Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.

Dictionary terms behind this calculator

Before studying the codeWhat you should know firstUse the calculator immediately, or check the foundations before reading the implementation.

These foundations help you understand why Architectural Daylight Factor works. They never block the calculator, and “optional” means useful context rather than a hidden requirement.

Hard requirements

  • Reading formulas and substituting values

    Architectural Daylight Factor uses c=100a/b. You need to recognise what each side represents before substituting the stated inputs or rearranging the relationship.

    Review this foundation about 4 min

Strong support

  • Averages and representative values

    Representative values help you judge what the Architectural Daylight Factor inputs summarise and what the result can legitimately describe.

    Review this foundation about 5 min

Optional enrichment

  • Spread and measurement variation

    Variation is not always part of the Architectural Daylight Factor formula, but it helps you judge how stable a reported result may be.

    Review this foundation about 6 min
Learn the missing foundationsI already know these — show the code

Mathematics → algorithm → program

Implement this calculation in code

These are direct reference implementations of the calculator's principal relationship and first output. They run locally and include a small known-answer check where the language supports it.

Algorithm

  1. Read indoor daylight illuminance, simultaneous unobstructed outdoor illuminance.
  2. Evaluate the principal relationship: c=100a/b.
  3. Return daylight factor percentage and check the domain conditions described above.
Python
            from math import *

def architectural_daylight_factor_calculator(a, b) -> float:
    return ((100.0 * a) / b)

assert abs(architectural_daylight_factor_calculator(450, 10000) - 4.5) < 1e-6 * max(1.0, abs(4.5))
          
Current calculator valuesUpdates when you change an input above.
              
            
C
            #include <assert.h>
#include <math.h>

double architectural_daylight_factor_calculator(double a, double b) {
    return ((100.0 * a) / b);
}

int main(void) {
    const double expected = 4.5;
    const double actual = architectural_daylight_factor_calculator(450, 10000);
    assert(fabs(actual - expected) < 1e-6 * fmax(1.0, fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
C++
            #include <cassert>
#include <cmath>
#include <numbers>

double architectural_daylight_factor_calculator(double a, double b) {
    return ((100.0 * a) / b);
}

int main() {
    constexpr double expected = 4.5;
    const double actual = architectural_daylight_factor_calculator(450, 10000);
    assert(std::fabs(actual - expected) < 1e-6 * std::fmax(1.0, std::fabs(expected)));
}
          
Current calculator valuesUpdates when you change an input above.
              
            
Linux x86-64 assembly

x86-64 NASM · System V ABI · Linux · SSE2 with libm where required

            ; double architectural_daylight_factor_calculator(double a, double b)
; Linux x86-64 NASM · System V ABI · first eight doubles in xmm0–xmm7
global architectural_daylight_factor_calculator
section .text

architectural_daylight_factor_calculator:
    push rbp
    mov rbp, rsp
    sub rsp, 48
    movsd [rbp-8], xmm0
    movsd [rbp-16], xmm1
    mov rax, 0x4059000000000000
    movq xmm0, rax
    movsd [rbp-40], xmm0
    movsd xmm0, [rbp-40]
    mulsd xmm0, [rbp-8]
    movsd [rbp-32], xmm0
    movsd xmm0, [rbp-32]
    divsd xmm0, [rbp-16]
    movsd [rbp-24], xmm0
    movsd xmm0, [rbp-24]
    leave
    ret
          
Current calculator valuesUpdates when you change an input above.
              
            
MATLAB
            function result = architectural_daylight_factor_calculator(a, b)
    result = ((100.0 * a) / b);
end
          
Current calculator valuesUpdates when you change an input above.
              
            
Wolfram Language
            ClearAll[mwCalculate];
mwCalculate[a_, b_] := ((100.0 * a) / b);
          
Current calculator valuesUpdates when you change an input above.
              
            

Continue in mathematical software

The downloaded file includes your current inputs and first calculated result. It is created locally.

Floating-point answers can differ slightly by language, compiler and processor. Compare within a suitable tolerance rather than assuming every decimal representation will be identical.

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.

Introductory Statistics 2e

Read the free OpenStax statistics textbook
Cite this book
APA 7
Illowsky, B., & Dean, S. (2023). Introductory statistics 2e. OpenStax. https://openstax.org/books/introductory-statistics-2e/pages/1-introduction
MLA 9
Illowsky, Barbara, and Susan Dean. Introductory Statistics 2e. OpenStax, 2023, https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.
Chicago author-date
Illowsky, Barbara, and Susan Dean. 2023. Introductory Statistics 2e. Houston, TX: OpenStax. https://openstax.org/books/introductory-statistics-2e/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). Architectural Daylight Factor Calculator. MW SysArc Tools. https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator

MLA 9

MW SysArc. “Architectural Daylight Factor Calculator.” MW SysArc Tools, 21 July 2026, https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator. Accessed 31 Aug. 2026.

Chicago 17

MW SysArc. “Architectural Daylight Factor Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator.

Harvard

MW SysArc (2026) ‘Architectural Daylight Factor Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator (Accessed: 31 August 2026).

BibTeX and RIS records

BibTeX

@misc{mwsysarc_architectural_daylight_factor_calculator_2026,
  author = {{MW SysArc}},
  title = {Architectural Daylight Factor Calculator},
  howpublished = {MW SysArc Tools},
  year = {2026},
  url = {https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator},
  note = {Published July 21, 2026; accessed August 31, 2026}
}

RIS

TY  - ELEC
AU  - MW SysArc
TI  - Architectural Daylight Factor Calculator
T2  - MW SysArc Tools
PY  - 2026
DA  - 2026-07-21
Y2  - 2026-08-31
UR  - https://math.mwsysarc.com/statistics/architectural-daylight-factor-calculator
N1  - Published July 21, 2026
ER  -

Clear answers

Frequently asked questions

What does the Architectural Daylight Factor do?

Calculate daylight factor percentage from indoor daylight illuminance and simultaneous unobstructed outdoor illuminance.

How does the Architectural Daylight Factor work?

The calculator applies c=100a/b. Daylight factor compares indoor daylight illuminance with simultaneous outdoor horizontal illuminance under the stated sky. This page evaluates the relationship directly.

What can I learn from the Architectural Daylight Factor?

It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.

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 steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.

Last reviewed . Calculations tested .

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