Convert Denier to Worsted Count (den to Nw)
Denier and worsted count are inversely related: Nw = 7972.306841 ÷ den, so 15 den = 531.4871227 Nw.
Also searched as denier to Nw, denier in Nw, denier into worsted count, den to Nw, den in worsted count, den into worsted count, denier to worsted count and den to worsted count converter.
1 den = 7972.306841 Nw
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk denier to Nw converter to paste a column from Excel.
How to Convert Denier to Worsted Count
- Nw = 7972.306841 ÷ den
- den = 7972.306841 ÷ Nw
- Example: convert 15 den to Nw: 7972.306841 ÷ 15 = 531.4871227 Nw
Formula
Nw = 7972.306840551 ÷ den
Derivation from SI units:
- 1 den = 1 g per 9000 m = 1/9 tex ≈ 1.111 × 10⁻⁷ kg/m (exact)
- Nw = number of 560-yard hanks per pound, so tex = 885.8119 ÷ Nw
- Solving for Nw: Nw = 7972.306840551 ÷ den (a higher den means a lower Nw)
Both units are defined exactly, so the factor is exact. Denier definition: denier; Worsted Count definition: worsted count.
Worked examples
- A reading of 40 den converts to 199.307671 Nw.
7972.306841 ÷ 40 = 199.307671 Nw - A value of 150 den is 53.14871227 Nw.
7972.306841 ÷ 150 = 53.14871227 Nw
Denier to Worsted Count conversion table
| Denier (den) | Worsted Count (Nw) |
|---|---|
| 10 den | 797.2306841 Nw |
| 15 den | 531.4871227 Nw |
| 20 den | 398.615342 Nw |
| 30 den | 265.7435614 Nw |
| 40 den | 199.307671 Nw |
| 50 den | 159.4461368 Nw |
| 70 den | 113.8900977 Nw |
| 75 den | 106.2974245 Nw |
| 100 den | 79.72306841 Nw |
| 150 den | 53.14871227 Nw |
| 210 den | 37.96336591 Nw |
| 420 den | 18.98168295 Nw |
| 840 den | 9.490841477 Nw |
| 1000 den | 7.972306841 Nw |
Where it's used
Denier are used for hosiery and tights (for example 15–40 den), while worsted count appear in worsted wool and acrylic yarns. 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.
Denier to other yarn count units
| Conversion | 1 den equals |
|---|---|
| denier to Nw | 7972.306841 Nw |
| denier to tex | 0.1111111111 tex |
| denier to Ne | 5314.871227 Ne |
| denier to decitex | 1.111111111 dtex |
| denier to Nm | 9000 Nm |
| denier to kilotex | 0.0001111111111 ktex |
| denier to woollen count | 17439.42121 NY |
| denier to linen lea | 14881.63944 NeL |
Show 1 more units
| denier to kilogram per metre | 1.111111111 × 10⁻⁷ kg/m |
|---|
Frequently asked questions
What is the formula for denier to worsted count?
Nw = 7972.306841 ÷ den. The two systems are inversely related, so divide the constant by the value; do not multiply. For example, 7972.306841 ÷ 15 = 531.4871227 Nw.
Why does a higher den give a lower Nw?
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 den to Nw 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 , Denier system.
- 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 , Worsted count.
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 Denier to Worsted Count (den to Nw). Retrieved October 25, 2026, from https://scientificconverters.com/yarn-count/denier-to-worsted-count/
IEEE
Scientific Converters, "Convert Denier to Worsted Count (den to Nw)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/yarn-count/denier-to-worsted-count/