A wrapped cylindrical body such as a catamenial tampon is provided with a wrapper which will maintain the body clean and dust and moisture proof and can easily be opened. Specifically, the cylindrical body is wrapped in a wrapper having perforations arranged in a pattern whereby almost the entire wrapper can be removed in one motion without the need for pulling substantial quantities of wrapping from the ends of the cylindrical body. Further, the wrapper provides no open path for dust and other contaminants to reach the wrapped product. These advantages are achieved by providing two perforated zones in the wrapping material, double wrapping the cylindrical body and having the perforations of each of the zones offset so as to close any path into the product. The zones are located so as to overlie each other when the product is wrapped and are adhered together whereby essentially the entire product may be unwrapped in a single unwrapping operation.