How to Manually Convert CMYK to HSL?
Converting CMYK to HSL involves a series of steps to accurately represent colors in terms of their Hue, Saturation, and Lightness. Below is the manual calculation for this conversion:
Normalization of CMYK Values
Before proceeding with the conversion, normalize the CMYK values by dividing each component by 100:
C* = C/100
M* = M/100
Y* = Y/100
K* = K/100
Example: Let's consider the CMYK values:
- Cyan (C) = 50%
- Magenta (M) = 60%
- Yellow (Y) = 30%
- Black (K) = 10%
Interpreting Formula:
- C* = 50 / 100 = 0.5
- M* = 60 / 100 = 0.6
- Y* = 30 / 100 = 0.3
- K* = 10 / 100 = 0.1
Conversion to RGB
Once normalized, convert the CMYK values to RGB using the following formulas:
R = 255 × (1 - C*) × (1 - K*)
G = 255 × (1 - M*) × (1 - K*)
B = 255 × (1 - Y*) × (1 - K*)
Interpreting Formula:
- R = 255 × (1 - 0.5) × (1 - 0.1) = 114.75 ≈ 115
- G = 255 × (1 - 0.6) × (1 - 0.1) = 91.8 ≈ 92
- B = 255 × (1 - 0.3) × (1 - 0.1) = 160.65 ≈ 161
Conversion to HSL
With the RGB values obtained, convert them to HSL using the following steps:
Hue (H): It is calculated based on the relative positions of the normalized RGB values.
Saturation (S): It is calculated based on the lightness and the range between the maximum and minimum RGB values.
Lightness (L): It is calculated as the average of the maximum and minimum RGB values.
To understand its detailed conversion, check our RGB to HSL conversion tool.
Interpreting Formula:
After normalizing the RGB-obtained values and utilizing formulas, here’s the final result:
- H: 260°
- S: 27%
- L: 50%
Examples to Convert CMYK to HSL with Formula without Tool
Example 1:
CMYK Values: (40%, 20%, 0%, 10%)
HSL Values: (210°, 64%, 72%)
Color Representation: A shade of blue with little pinch of green.
Example 2:
CMYK Values: (10%, 60%, 60%, 10%)
HSL Values: (0°, 54%, 59%)
Color Representation: A muted shade of red-orange.
Example 3:
CMYK Values: (100%, 0%, 100%, 0%)
HSL Values: (120°, 100%, 50%)
Color Representation: A vibrant shade of green.
Example 4:
CMYK Values: (50%, 30%, 50%, 30%)
HSL Values: (120°, 17%, 42%)
Color Representation: A deep shade of blue.
Example 5:
CMYK Values: (0%, 100%, 50%, 0%)
HSL Values: (330°, 100%, 50%)
Color Representation: A shade of pink, often referred to as "fuchsia" or "hot pink."