if an item is 40% off the original price, and the final price is $22, what is the original price of the item

Great answer MathsGod1  

This is how I would do it with an equation

60% of X = 22

$${\mathtt{0.6}}{\mathtt{\,\times\,}}{\mathtt{X}} = {\mathtt{22}}$$

$${\frac{{\mathtt{0.6}}{\mathtt{\,\times\,}}{\mathtt{X}}}{{\mathtt{0.6}}}} = {\frac{{\mathtt{22}}}{{\mathtt{0.6}}}}$$

$${\mathtt{X}} = {\frac{{\mathtt{22}}}{{\mathtt{0.6}}}}$$

$${\frac{{\mathtt{22}}}{{\mathtt{0.6}}}} = {\frac{{\mathtt{110}}}{{\mathtt{3}}}} = {\mathtt{36.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

So the original price was $36.67