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On paper I have 1 share in my company. How can I sell a smaller percentage of my company to another party?
You actually have a few options. First, you can do a share split and then sell an equal number of shares from both you and your wife to maintain parity. Second, you can have the company issue additional shares/convert shares and then have the company sell the appropriate percentage to the third party while the rest is distributed to you and your wife. Third, you can have the company issue a separate class of stock. For example there are companies that have voting stock and non-voting stock. Depending on your goal, you could just issue non-voting stock and sell that.  Best bet is to contact a lawyer who specializes in this type of work and have them recommend a course of action. One caveat that has not been mentioned is that what/how you do this will also depend on the type of corporation that you have created.