Fawzia multiplied the price of the pair of sneakers by 1.0625 to include the tax. The number 1.0625 can be broken down as follows:
\[ 1 + \text{tax rate} \]
Let \( x \) be the tax rate as a decimal. Therefore, we have:
\[ 1 + x = 1.0625 \]
To find \( x \), we can subtract 1 from both sides:
\[ x = 1.0625 - 1 = 0.0625 \]
To convert the tax rate \( x \) from a decimal to a percentage, we multiply it by 100:
\[ \text{Tax rate percentage} = 0.0625 \times 100 = 6.25% \]
Thus, the percent tax that Fawzia paid is:
\[ \boxed{6.25%} \]