yes, it'll work without any issues at all.
For reference for everyone; A PSU wattage isn't all, the Amps and Voltage rail also helps, and the supplier and type of PSU is also a good listing. Though Even if it is a cheap PSU, the Amp and Volatge should be usually always the same (unless you have a really cheap PSU), just to be sure this won't be a mistake, what PSU is it?