sam has a savings amount that increased in value over a twelve month period from $8765.00 to $9006. he made no deposits or with drawls in that time. What percent interest did he receive for the 12 month period

You don't state if this is compounded interest.

Assuming simple interest,
I = PRT (interest = principal x rate x time)

9006 - 8765 = 241 interest

241 = 8765 x R x T
241 = 8765 x R x 1
241 = 8765R

Solve for R, the rate of interest

Multiply R x 100 = percent