# How to Manually Convert CMYK to HSV?

Converting CMYK to HSV also involves a series of steps to accurately represent colors in terms of their Hue, Saturation, and Value. 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) = 25%
- Yellow (Y) = 0%
- Black (K) = 20%

*Interpreting Formula:*

- C* = 50 / 100 = 0.5
- M* = 25 / 100 = 0.25
- Y* = 0 / 100 = 0
- K* = 20 / 100 = 0.2

### 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 - 0.2) = 102
- G = 255 × (1 - 0.25) × (1 - 0.2) = 153
- B = 255 × (1 - 0) × (1 - 0.2) = 204

### Conversion to HSV

With the RGB values obtained, convert them to HSV 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 maximum and minimum RGB values.

**Value (V):** It is calculated as the maximum of the normalized RGB values.

To understand its detailed conversion, check our RGB to HSV conversion tool.

*Interpreting Formula:*

After normalizing the RGB-obtained values and utilizing formulas, here’s the final result:

- H: 210°
- S: 50%
- V: 80%

## Examples to Convert CMYK to HSV with Formula without Tool

**Example 1:**

CMYK Values: (100%, 20%, 80%, 10%)

HSV Values: (135°, 100%, 72%)

Color Representation: It is a shade of teal green.

**Example 2:**

CMYK Values: (10%, 60%, 60%, 10%)

HSV Values: (0°, 56%, 81%)

Color Representation: It is a shade of orange.

**Example 3:**

CMYK Values: (100%, 0%, 100%, 0%)

HSL Values: (120°, 100%, 100%)

Color Representation: It is a vibrant shade of green.

**Example 4:**

CMYK Values: (0%, 100%, 50%, 0%)

HSV Values: (330°, 100%, 100%)

Color Representation: It is a shade of pink, often referred to as "fuchsia" or "hot pink."

**Example 5:**

CMYK Values: (50%, 0%, 0%, 0%)

HSV Values: (180°, 50%, 100%)

Color Representation: It is a bright shade of cyan-blue.