FM BCS INTEGRATION WITH BPC

Hi All

We have a FM-BCS procejt that is going to integrate with BPC. Each budget that is entred for commitment item and fund center will automatic post from BPC. My question is that when BPC users change a budget for a fund center, Will it update the fm elements in ERP side. For instance, the first budget for fund center A is $1000. This amount has come from BPC automatically. If users change this amount from $1000 to $1200, will that update  fund center A automatically in FM side?

Thank you very much

Yasin