numbers to xlsx conversion is needed when you need to transform spreadsheet from Numbers to Excel. Usually, the only program that can work with .numbers spreadsheets is Numbers (previously iWorks Numbers) from Apple, which is available on OS X platform. Windows users have notoriously problems with accessing this spreadsheet file type and usually prefer Excel files (.xls, .xlsx) or some open productivity suite alternatives.
Because no numbers to xls converter exists, your best shot for conversion of numbers to xls is to ask some of your friends with Mac to do the conversion for you, as Numbers is a free app since 2012 or so. Latest versions of LibreOffice Calc supposedly can also work with .numbers files, but this may only be the case for some older variants of the format.
The last option would be to use some of the online conversion services like ZAMZAR, that allow users to convert .numbers to .xlsx online, however the results may not always be what you expected, especially in case of complex spreadsheets.