This question is asking you to convert the percent into a decimal. When doing this, you must move the decimal point two spaces to the left. The answer is \(\displaystyle 0.425\)

The word approximately tells you that you need to estimate to get the answer. $652.20 can round up to $700 because 52.20 is more than half of 100. Since 10% is equal to the decimal 0.10, we multiply 700 by this number in order to find out what 10% of 700 is.

\(\displaystyle 700\times 0.10 = 70\)

The answer is  \(\displaystyle \$70\)

To find the percentage, first write the values as a fraction, then convert the fraction's denominator to \(\displaystyle 100\). We can write the given values as \(\displaystyle \frac{2}{50}\), which can be converted to \(\displaystyle \frac{4}{100}\) by multiplying both the numerator and denominator by \(\displaystyle 2\). \(\displaystyle \frac{4}{100}\) is equivalent to \(\displaystyle 4\%\).

The original number in this problem is 50 and you must find the percentage of 30 from 50. 

Another way to view this problem is what percentage of the original 50 equals 30.

Let x equal the percentage:

50(x) = 30

50x = 30

\(\displaystyle x=\frac{30}{50}= 0.6\)

In order to change the decimal 0.6 to a percentage multiply by 100:

0.6 x 100 = 60%

The formula for the percent increase is:

\(\displaystyle \frac{(Final Value-Initial Value)}{Initial Value}*100percent\)

Substituting the given values into the above equation: \(\displaystyle \frac{(25.0 million-20.5million)}{20.5million}*100percent=21.9percent\)

After rounding, the answer is 22%

The other answers represent possible mistakes that could have been made:  18% is the mistake of dividing by the final value, not the initial value;  10% is the mistake of dividing by the sum of the final and the initial values; and 21% is the mistake of improper rounding or not doing the division to the third digit.

When dividing \(\displaystyle 7\) by \(\displaystyle 70\), the reduced form is:

\(\displaystyle \frac{7}{70}=\frac{1}{10}= .1\)

\(\displaystyle .1\) is the equivalent of \(\displaystyle 10\) percent, which is therefore the correct answer.

Set up the proportion statement, where \(\displaystyle p\) is our answer, and solve:

\(\displaystyle \frac{p}{100} = \frac{77}{300}\)

\(\displaystyle \frac{p}{100} \cdot 100 = \frac{77}{300} \cdot 100\)

\(\displaystyle p = \frac{77\cdot 100}{300} = \frac{77}{3} = 25 \frac{2}{3} \%\)

The percentage of students who attended the field trip can be found by dividing the number present by the total number of students.  Here this is \(\displaystyle 24\) divided by \(\displaystyle 25\).  You then multiply by \(\displaystyle 100\) to get the percentage.

In order to convert numbers to a percent, it is easiest to set up a ratio. 

We know that percent is just per-cent or per-100, another way to write this is to divide the number by 100. 

We would set up the ratio below with x being the number we are looking for: 

\(\displaystyle \frac{x}{100}=\frac{8}{40}\)

To solve this, we can cross multiply, but to make this an easier multiplication we want to reduce any fractions that can be reduced. The 8/40 on the right will reduce to become 1/5. 

\(\displaystyle \frac{x}{100}=\frac{1}{5}\)

Now we cross multiply 5 times x and 1 times 100 to get: 

\(\displaystyle 5x=100\)

Dividing both sides by 5 will give us the percent. 

\(\displaystyle \frac{5x}{5}=\frac{100}{5}\)

\(\displaystyle x=20\textup{ or }20\%\)

7 of the 12 triangles - \(\displaystyle \frac{7}{12}\) of the hexagon - is shaded in; this is

\(\displaystyle \frac{7}{12} \times 100 \% = \frac{700}{12} \%\) of the hexagon. 

\(\displaystyle 700 \div 12 = 58 \textrm{ R } 4\), so

\(\displaystyle \frac{700}{12} \% = 58 \frac{4}{12} \% = 58 \frac{1}{3} \%\)