Answer :
To find out what percent 12 is of 25, we can set up a proportion. A proportion is an equation that states that two ratios are equal. Follow these steps:
1. Set up the proportion: We know that we're trying to find a percentage, so we need to compare 12 to 25 in the form of a fraction and set it equal to the percentage over 100. This gives us the equation:
[tex]\[
\frac{12}{25} = \frac{p}{100}
\][/tex]
where [tex]\( p \)[/tex] represents the percent we want to find.
2. Solve for [tex]\( p \)[/tex]: To solve for [tex]\( p \)[/tex], we can cross-multiply to eliminate the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction, giving us:
[tex]\[
12 \times 100 = 25 \times p
\][/tex]
3. Calculate the values: This simplifies to:
[tex]\[
1200 = 25p
\][/tex]
4. Divide to isolate [tex]\( p \)[/tex]: To find [tex]\( p \)[/tex], divide both sides of the equation by 25:
[tex]\[
p = \frac{1200}{25}
\][/tex]
5. Final calculation: When you divide 1200 by 25, you get:
[tex]\[
p = 48
\][/tex]
So, 12 is 48% of 25.
1. Set up the proportion: We know that we're trying to find a percentage, so we need to compare 12 to 25 in the form of a fraction and set it equal to the percentage over 100. This gives us the equation:
[tex]\[
\frac{12}{25} = \frac{p}{100}
\][/tex]
where [tex]\( p \)[/tex] represents the percent we want to find.
2. Solve for [tex]\( p \)[/tex]: To solve for [tex]\( p \)[/tex], we can cross-multiply to eliminate the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction, giving us:
[tex]\[
12 \times 100 = 25 \times p
\][/tex]
3. Calculate the values: This simplifies to:
[tex]\[
1200 = 25p
\][/tex]
4. Divide to isolate [tex]\( p \)[/tex]: To find [tex]\( p \)[/tex], divide both sides of the equation by 25:
[tex]\[
p = \frac{1200}{25}
\][/tex]
5. Final calculation: When you divide 1200 by 25, you get:
[tex]\[
p = 48
\][/tex]
So, 12 is 48% of 25.