Details of the budget deal reached in Congress and White House can be found in the full text of the summary, found here. (Links provided at that link to specific cuts and full text)
Pew Research has a before and after shot of the blame game being leveled at Republicans, Democrats, Barack Obama and Representatives affiliated with the Tea Party movement.
Before the deal was reached and agreed on:
After budget deal was reached and agreed on:
Make of it what you will.
I would be very interested to see the difference in those numbers if instead of asking who should receive "blame for dispute that nearly led to government shutdown" the question was asked who should receive "credit for reaching a deal to prevent government shutdown."