QUESTION 1
What is 20% of 20?
To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.
DECIMAL:
To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.
[tex]20 \% \rightarrow 0.2[/tex]
Now that you have your decimal, multiply by 20:
[tex]0.2 \times 20 = 4[/tex]
ANSWER = 4
FRACTION:
To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.
[tex]20 \% \rightarrow \frac{20}{100}[/tex]
Now that you have your fraction, multiply by 20:
[tex]\frac{20}{100} \times 20 = \frac{400}{100} = 4[/tex]
ANSWER = 4
QUESTION 2
15 is what percent of 30?
For questions like these, you have to divide. In this question, you have to divide 15 by 30 and change that into a percent.
First divide:
[tex]15 \div 30 = 0.5[/tex]
Now you need to change the decimal into a fraction.
To change a decimal into a percent, you have to add a percent sign and move the decimal point 2 places to the right.
[tex]0.5 \rightarrow 50 \%[/tex]
ANSWER = 50%
QUESTION 3
50 is 50% of what?
For this question, you can make an equation.
[tex]50 = 50 \% \times x[/tex]
To make it easier, change 50% to a decimal:
[tex]50 \% = 0.5[/tex]
Here is your new equation:
[tex]0.5 \times x = 50[/tex]
x is your answer. To find your answer, you have to divide both sides by 0.5 to leave x alone. Divide:
[tex]0.5 \times x \div 0.5 = 50 \div 0.5 \\ x = 50 \div 0.5 \\ x = 100[/tex]
ANSWER = 100
If you have any questions, feel free to ask in the comments! :)
