Let \( x \) be the total number of bagels produced on Saturday. We know that 8% of \( x \) is equal to 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 this gives: \[ x = 5,200 \]
Therefore, the total number of bagels produced on Saturday is 5,200 bagels.