How to find percentage - SSAT Middle Level Quantitative
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A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?
A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?
The coat is $10 cheaper than normal.
The coat is $10 cheaper than normal.
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A class with 
students went on a field trip, but one of the students was absent. What percentage of students in the class went on the field trip?
A class with
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 
divided by 
. You then multiply by 
to get the percentage.
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
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Write 132% as a fraction in simplest form.
Write 132% as a fraction in simplest form.
Write as a fraction over 100, and simplify:
Write as a fraction over 100, and simplify:
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Write 
as a percent.
Write
Multiply by 100, and simplify:
The correct choice is 96%.
Multiply by 100, and simplify:
The correct choice is 96%.
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What is the decimal form of 42.5%?
What is the decimal form of 42.5%?
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 
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
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Marshal saves 10% of his paycheck each week. If Marshal earned $652.20 this week, approximately how much money did he save?
Marshal saves 10% of his paycheck each week. If Marshal earned $652.20 this week, approximately how much money did he save?
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.
The answer is 
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.
The answer is
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is what percent of 
?
Set up the proportion statement, where 
is our answer, and solve:
Set up the proportion statement, where
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What percentage of 
is 
?
What percentage of
To find the percentage, first write the values as a fraction, then convert the fraction's denominator to 
. We can write the given values as 
, which can be converted to 
by multiplying both the numerator and denominator by 
. 
is equivalent to 
.
To find the percentage, first write the values as a fraction, then convert the fraction's denominator to
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There were an estimated 20.5 million registered cars in the United States in 1995. The 15 years later the number of registered cars was an en estimated 25.0 million. What is the percent increase in registered cars from 1995 to 2010 rounded to the nearest whole number?
There were an estimated 20.5 million registered cars in the United States in 1995. The 15 years later the number of registered cars was an en estimated 25.0 million. What is the percent increase in registered cars from 1995 to 2010 rounded to the nearest whole number?
The formula for the percent increase is:
Substituting the given values into the above equation: 
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.
The formula for the percent increase is:
Substituting the given values into the above equation:
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.
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If 
out of 
students have contact lenses, what percentage of students have contact lenses?
If
When dividing 
by 
, the reduced form is:
is the equivalent of 
percent, which is therefore the correct answer.
When dividing
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What percent (%) of 50 is 30?
What percent (%) of 50 is 30?
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
In order to change the decimal 0.6 to a percentage multiply by 100:
0.6 x 100 = 60%
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
In order to change the decimal 0.6 to a percentage multiply by 100:
0.6 x 100 = 60%
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What percent of 
is 
?
What percent of
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:
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.
Now we cross multiply 5 times x and 1 times 100 to get:
Dividing both sides by 5 will give us the percent.
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:
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.
Now we cross multiply 5 times x and 1 times 100 to get:
Dividing both sides by 5 will give us the percent.
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The above hexagon is divided into triangles of equal size. What percent of the hexagon is shaded in?
The above hexagon is divided into triangles of equal size. What percent of the hexagon is shaded in?
7 of the 12 triangles - 
of the hexagon - is shaded in; this is
of the hexagon.
, so
7 of the 12 triangles -
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The above rectangle is divided into squares of equal size. What percent of the rectangle is shaded in?
The above rectangle is divided into squares of equal size. What percent of the rectangle is shaded in?
8 of the 10 squares - 
of the rectangle - is shaded in, so
of rectangle is shaded.
8 of the 10 squares -
of rectangle is shaded.
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What percent of the above figures have been shaded in?
What percent of the above figures have been shaded in?
There are twelve figures, five of which have been shaded in, so 
of the figures are shaded; this is
Since 
, this is equal to 
of the figure.
There are twelve figures, five of which have been shaded in, so
Since
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What percent of the above figures are circles?
What percent of the above figures are circles?
There are twelve figures, six of which are circles. This is
of the figures.
There are twelve figures, six of which are circles. This is
of the figures.
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is 40% of 
. 
is 72% of 
.
What percent of 
is 
?
What percent of
is 40 % of 
, or 
; is 72% of , or 
.
To find out what percent 
is of 
, evaluate:
.
To find out what percent
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is 20% of 
and 
of 
.
What percent of 
is 
?
What percent of
20% of a number is 
of that number, so 
. Equivalently,
of a number is 
of that number, so 
. Equivalently,
To find out what percent 
is of 
, evaluate:
.
20% of a number is
To find out what percent
.
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is 
of 
.
is 2.5 % of 
.
What percent of 
is 
?
What percent of
For the sake of simplicity, since this reasoning is independent of the actual value of 
, we will assume that 
. Then 
is 
of 100, or simply 
, and 
is 2.5% of 100, or simply 2.5. To find out what percent 
is of 
, evaluate:
For the sake of simplicity, since this reasoning is independent of the actual value of
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is 30% of 
and 60% of 
.
What percent of 
is 
?
What percent of
is 30% of 
, so
is 60% of 
, so
To determine what percent of 
is, evaluate:
To determine what percent of
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