#### Explanation:

We can change the way that $95.69$ looks as long as we include a correction that takes it back to the original value.

We can choose when to apply that correction. I am going to do so at the very end.

Don't like decimals so lets get rid of it.

$95.69$ is the same as

$\textcolor{g r e e n}{9569} \textcolor{red}{\times \frac{1}{100} \leftarrow \text{ The correction}}$

So consider just:

$\textcolor{w h i t e}{\text{dd}} \textcolor{g r e e n}{9 \textcolor{w h i t e}{.} 5 \textcolor{w h i t e}{.} 6 \textcolor{w h i t e}{.} 9}$
ul(color(green)(color(white)("ddddddd.") 9larr" Multiply"))
$\textcolor{g r e e n}{\underline{\textcolor{w h i t e}{} 8 \textcolor{w h i t e}{.} 6 \textcolor{w h i t e}{.} 1 \textcolor{w h i t e}{.} 2 \textcolor{w h i t e}{.} 1 \textcolor{w h i t e}{\text{ddddddddddd}}}}$
color(white)("d.")5color(white)(.)6color(white)(.) 8 larr" Caried values"

Now we apply the correction:

color(green)(86121color(red)(xx1/100) =861.21

But we are counting in dollars giving:

color(green)( \$861.21 )