# Convert assay ton to wey

Learn how to convert 1 assay ton to wey step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(assay \text{ } ton\right)={\color{rgb(20,165,174)} x}\left(wey\right)$$
Define the base values of the selected units in relation to the SI unit $$\left({\color{rgb(230,179,255)} kilo}gram\right)$$
$$\text{Left side: 1.0 } \left(assay \text{ } ton\right) = {\color{rgb(89,182,91)} \dfrac{7.0}{2.4 \times 10^{2}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} \dfrac{7.0}{2.4 \times 10^{2}}\left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Right side: 1.0 } \left(wey\right) = {\color{rgb(125,164,120)} 161.47888372\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 161.47888372\left({\color{rgb(230,179,255)} k}g\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(assay \text{ } ton\right)={\color{rgb(20,165,174)} x}\left(wey\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{7.0}{2.4 \times 10^{2}}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 161.47888372}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{7.0}{2.4 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 161.47888372} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{7.0}{2.4 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 161.47888372} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{7.0}{2.4 \times 10^{2}} = {\color{rgb(20,165,174)} x} \times 161.47888372$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 161.47888372 = \dfrac{7.0}{2.4 \times 10^{2}}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{161.47888372}\right)$$
$${\color{rgb(20,165,174)} x} \times 161.47888372 \times \dfrac{1.0}{161.47888372} = \dfrac{7.0}{2.4 \times 10^{2}} \times \dfrac{1.0}{161.47888372}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{161.47888372}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{161.47888372}}} = \dfrac{7.0 \times 1.0}{2.4 \times 10^{2} \times 161.47888372}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{7.0}{2.4 \times 10^{2} \times 161.47888372}$$
Rewrite equation
$$\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-2} \times 7.0}{2.4 \times 161.47888372}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0001806222\approx1.8062 \times 10^{-4}$$
$$\text{Conversion Equation}$$
$$1.0\left(assay \text{ } ton\right)\approx{\color{rgb(20,165,174)} 1.8062 \times 10^{-4}}\left(wey\right)$$