Michael rented a truck for one day. There was a base fee of 14.99, and there was an additional charge of 97 cents for each mile driven. Michael had to pay $135.27 when he returned the truck. For how many miles did he drive the truck?

Let the number of miles driven be x

The additional charge for x miles driven is 97x cents
The total cost for x miles driven is 14.99 + 97x
The total cost for the rental is $135.27
14.99 + 97x = 135.27
97x = 135.27 - 14.99
97x = 120.28
x = 120.28/97
x = 1.24
Michael drove the truck for <<1.24=1.24>>1.24 miles. Answer: \boxed{1.24}.

To find the number of miles Michael drove the truck, we need to subtract the base fee from the total amount he paid and then divide the result by the additional charge per mile.

Let's perform the calculation step-by-step:

Step 1: Subtract the base fee from the total amount Michael paid:
$135.27 - $14.99 = $120.28

Step 2: Divide the result by the additional charge per mile to find the number of miles driven:
$120.28 รท $0.97 = 124.06

Therefore, Michael drove approximately 124.06 miles.