The percentage of ( a% ) is to be applied on the principal amount of ( P ):
[tex]P\text{ = \$658.23}[/tex]We need to determine what percentage proportion rate ( a% ) will left us with a disposable amount of ( D ):
[tex]D\text{ = \$645.07}[/tex]The percentage formula applied at principal amount is:
[tex]D\text{ = P }\cdot\text{ }\frac{a}{100}\text{ }[/tex]We will plug in the values the respective values as follows:
[tex]\begin{gathered} a\text{ = }\frac{100\cdot D}{P} \\ a\text{ = }\frac{100\cdot645.07}{658.23}\text{ = }\frac{64507}{658.23} \\ \textcolor{#FF7968}{a}\text{\textcolor{#FF7968}{ = 98\%}} \end{gathered}[/tex]The amount of percentage reduction applied to the principal amount is ( 2% ) and $645.07 is 98% of principal $658.23.
Hence,
[tex]\textcolor{#FF7968}{98}\text{\textcolor{#FF7968}{ percent}}[/tex]