Under standard circumstances, it's always important to understand where the money is going and how it gets there :). Whether or not its your job to constantly track it at every stop and all the related tasks is a different situation. Generally, I feel its important that you know your basic accounting and bookkeeping and be able to understand it to a sense that you can do it during the early stages. Once you're founded, in the US, you do have financial and tax responsibilities that you have to be aware of and you likely don't have the money to pay an accountant to do it. Once you grow a little bit and have the money to spend on a professional accountant, if you're not really good at it (and even if you are) its generally best you get someone to do that for you, just follow along with everything that's going on.

However, being you're in China I'm not even going to step in advising you on how to go about your country's laws and financial regulations because I just don't know. China is its own animal and can't easily be dropped into the cookie-cutter systems of the US and UK. In my opinion and very limited experience that is, anyways.