Let x = the original electric bill. 

Since the total = original + tax, we can set up the equation as

x + .2353 x = 110.06

1.2353x = 110.06

x = 110.06/1.2353

I'll leave the final calculation for you

You are given that the total bill amount is $110.06 and that the tax on the original amount is 23.53%.

Let x represent the original amount of the bill. With this and the given info above, we arrive at the following:

          x + x(23.53%/100%) = 110.06

                     x + x(0.2353) = 110.06

                     x + (0.2353)x = 110.06

                           (1.2353)x = 110.06

                                       x = 89.095766210637

                                       x ≈ 89.10

Thus, the original bill amount is approximately $89.10