Proportions with Percentages How would I solve this using a proportion?
What is $2$% of $\frac{1}{2}$?
I tried doing $\frac{2}{100} = \frac{x}{50}$, but I'm not sure if its right.
 A: % means 'per hunderd' and therefore you can write 2% as 2/100. Note that both the numerator and denumerator could be divided by 2 which gives 1/50. It follows that 2% of 1/2 equals 1/50 * 1/2 = 1/100.
A: Hint: $2\%=\frac{2}{100}=0.02$
"Of" means "multiply". 
A: It may be easier to first look at other percentages.
I am sure that you would agree that 100% of 1/2 is 1/2 and that 50% of 1/2 is half of 1/2 which is 1/4. These can be derived as follows:
1) 100% of 1/2: $\frac{100}{100}\times\frac{1}{2}=1\times\frac{1}{2}=\frac{1}{2}$
2) 50% of 1/2: $\frac{50}{100}\times\frac{1}{2}=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$
Now lets take another percentage - 20% of 1/2 would be calculated as follows:
3) 20% of 1/2: $\frac{20}{100}\times\frac{1}{2}=\frac{1}{5}\times\frac{1}{2}=\frac{1}{10}$
I am sure you can now work out what 2% of 1/2 is...
A: You have
$$ 0.5 \longleftrightarrow 100\% $$
$$ x \longleftrightarrow   2\% .$$ So?
A: Alright, I just figured it out.
2/100 = x/50
x = 1%, or 0.01 as a decimal.
I like to stick with one method, even though the multiplication one is also right. I feel more comfortable with proportions.
