Convert Worsted Count to Denier (Nw to den)
Worsted Count and denier are inversely related: den = 7972.306841 ÷ Nw, so 15 Nw = 531.4871227 den.
Also searched as worsted count to den, worsted count in den, worsted count into denier, Nw to den, Nw in denier, Nw into denier, worsted count to denier and Nw to denier converter.
1 Nw = 7972.306841 den
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk Nw to denier converter to paste a column from Excel.
How to Convert Worsted Count to Denier
- den = 7972.306841 ÷ Nw
- Nw = 7972.306841 ÷ den
- Example: convert 15 Nw to den: 7972.306841 ÷ 15 = 531.4871227 den
Formula
den = 7972.306840551 ÷ Nw
Derivation from SI units:
- Nw = number of 560-yard hanks per pound, so tex = 885.8119 ÷ Nw
- 1 den = 1 g per 9000 m = 1/9 tex ≈ 1.111 × 10⁻⁷ kg/m (exact)
- Solving for den: den = 7972.306840551 ÷ Nw (a higher Nw means a lower den)
Both units are defined exactly, so the factor is exact. Worsted Count definition: worsted count; Denier definition: denier.
Worked examples
- A reading of 24 Nw converts to 332.1794517 den.
7972.306841 ÷ 24 = 332.1794517 den - A value of 48 Nw is 166.0897258 den.
7972.306841 ÷ 48 = 166.0897258 den
Worsted Count to Denier conversion table
| Worsted Count (Nw) | Denier (den) |
|---|---|
| 8 Nw | 996.5383551 den |
| 12 Nw | 664.3589034 den |
| 16 Nw | 498.2691775 den |
| 20 Nw | 398.615342 den |
| 24 Nw | 332.1794517 den |
| 30 Nw | 265.7435614 den |
| 36 Nw | 221.4529678 den |
| 40 Nw | 199.307671 den |
| 48 Nw | 166.0897258 den |
| 60 Nw | 132.8717807 den |
| 64 Nw | 124.5672944 den |
| 80 Nw | 99.65383551 den |
Where it's used
Worsted Count are used for worsted wool and acrylic yarns, while denier appear in hosiery and tights (for example 15–40 den). Both measure yarn count (linear density of yarns and fibres), but one system is the inverse of the other, so a fixed constant is divided by the value.
Worsted Count to other yarn count units
| Conversion | 1 Nw equals |
|---|---|
| Nw to denier | 7972.306841 den |
| Nw to tex | 885.8118712 tex |
| Nw to Ne | 0.6666666667 Ne |
| Nw to decitex | 8858.118712 dtex |
| Nw to Nm | 1.128907878 Nm |
| Nw to kilotex | 0.8858118712 ktex |
| Nw to woollen count | 2.1875 NY |
| Nw to linen lea | 1.866666667 NeL |
Show 1 more units
| Nw to kilogram per metre | 0.0008858118712 kg/m |
|---|
Frequently asked questions
What is the formula for worsted count to denier?
den = 7972.306841 ÷ Nw. The two systems are inversely related, so divide the constant by the value; do not multiply. For example, 7972.306841 ÷ 15 = 531.4871227 den.
Why does a higher Nw give a lower den?
Worsted Count counts length per unit mass (an indirect system), while denier counts mass per unit length (a direct system). A finer yarn has a higher indirect number and a lower direct number.
Is the Nw to den conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- ASTM D2260, Standard Tables of Conversion Factors and Equivalent Yarn Numbers Measured in Various Numbering Systems, ASTM International , Worsted count.
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "yard" and "pound".
- ASTM D2260, Standard Tables of Conversion Factors and Equivalent Yarn Numbers Measured in Various Numbering Systems, ASTM International , Denier system.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Worsted Count to Denier (Nw to den). Retrieved October 25, 2026, from https://scientificconverters.com/yarn-count/worsted-count-to-denier/
IEEE
Scientific Converters, "Convert Worsted Count to Denier (Nw to den)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/yarn-count/worsted-count-to-denier/