To find [tex]\( 78\% \)[/tex] of [tex]\( 116.79 \)[/tex], follow these steps:
1. Convert the percentage to a decimal:
To convert [tex]\( 78\% \)[/tex] to a decimal, divide by [tex]\( 100 \)[/tex]:
[tex]\[
78\% = \frac{78}{100} = 0.78
\][/tex]
2. Multiply the decimal by the given number:
Next, multiply [tex]\( 0.78 \)[/tex] by [tex]\( 116.79 \)[/tex] to find [tex]\( 78\% \)[/tex] of [tex]\( 116.79 \)[/tex]:
[tex]\[
0.78 \times 116.79 = 91.0962
\][/tex]
3. Round the result to the nearest hundredth:
To round [tex]\( 91.0962 \)[/tex] to the nearest hundredth, look at the thousandth place:
[tex]\[
91.0962 \approx 91.10
\][/tex]
Therefore, [tex]\( 78\% \)[/tex] of [tex]\( 116.79 \)[/tex] rounded to the nearest hundredth is [tex]\( 91.10 \)[/tex].
The correct answer is:
[tex]\[
\boxed{91.10}
\][/tex]
