Let \( x \) be the total number of bagels produced on Saturday. According to the problem, 8% of that total was burned, which is given as 416 bagels. We can set up the equation:
\[ 0.08x = 416 \]
To find \( x \), we divide both sides by 0.08:
\[ x = \frac{416}{0.08} \]
Calculating the right side:
\[ x = 5200 \]
Thus, the total number of bagels produced on Saturday is 5,200 bagels.