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\( 199.75 \) is \( 8.5\% \) of \( 2350 \).
Solución
Let \( p \%\) represent the percentage such that
\[
199.75 = \frac{p}{100} \times 2350.
\]
To solve for \( p \), divide both sides by \( 2350 \):
\[
\frac{199.75}{2350} = \frac{p}{100}.
\]
Now, multiply both sides by 100:
\[
p = \frac{199.75}{2350} \times 100.
\]
Notice that
\[
2350 \times 0.085 = 199.75,
\]
so
\[
\frac{199.75}{2350} = 0.085.
\]
Thus,
\[
p = 0.085 \times 100 = 8.5.
\]
Therefore, \( 199.75 \) is \( 8.5\% \) of \( 2350 \).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Extra Insights
To find what percent 199.75 is of 2,350, you can use the formula: (Part/Whole) * 100 = Percentage. In this case, you substitute 199.75 for the part and 2,350 for the whole: (199.75 / 2,350) * 100 = 8.49%. So, 199.75 is approximately 8.49% of 2,350. To make calculations easier, you can simplify the numbers first. For instance, if you round 199.75 to 200 and 2,350 to 2,300, you can do a quick estimate. When you quickly crunch those numbers, you might notice that 200 is about 8.7% of 2,300, which is pretty close to our actual calculation! Always good to have a backup method for checking your work.
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