How to find the part from the whole with percentage - SSAT Middle Level Quantitative
Card 0 of 96
The product of two whole numbers is 12. Their difference could be
The product of two whole numbers is 12. Their difference could be
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The first thing to do is to determine what two numbers multiply to give you 12.
1 and 12
2 and 6
3 and 4
Now find the difference between each of those pairs.



The difference could be 1, 4, or 11. Only 4 is an answer choice.
The first thing to do is to determine what two numbers multiply to give you 12.
1 and 12
2 and 6
3 and 4
Now find the difference between each of those pairs.
The difference could be 1, 4, or 11. Only 4 is an answer choice.
Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.
If Susan wants to by a shirt originally priced at $42, how much will she pay?
Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.
If Susan wants to by a shirt originally priced at $42, how much will she pay?
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The storewide sale discounts the shirt by 50%:

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

The storewide sale discounts the shirt by 50%:
Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:
The sales tax for a given city is 8.5%. How much will someone shopping there pay for $139.34 worth of groceries, after tax is figured in?
The sales tax for a given city is 8.5%. How much will someone shopping there pay for $139.34 worth of groceries, after tax is figured in?
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To calculate the tax, multiply 8.5%. or, equivalently, 0.085, by $139.34, rounding to the nearest cent:

Add the tax to the price before tax:

The amount paid will be $151.18.
To calculate the tax, multiply 8.5%. or, equivalently, 0.085, by $139.34, rounding to the nearest cent:
Add the tax to the price before tax:
The amount paid will be $151.18.
The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?
The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?
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Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.
Tax: 
Price after tax: 
Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.
Tax:
Price after tax:
What is 250% of 750?
What is 250% of 750?
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Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

Refer to the above graph. If there were
registered voters in Smith County in
, how many voters were not registered as Republicans (nearest whole number)?

Refer to the above graph. If there were registered voters in Smith County in
, how many voters were not registered as Republicans (nearest whole number)?
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of the voters were registered as Republicans, so the rest -
- were not. Therefore, we want to calculate
of
, or, equivalently,

which, to the nearest whole number, rounds to
voters
of the voters were registered as Republicans, so the rest -
- were not. Therefore, we want to calculate
of
, or, equivalently,
which, to the nearest whole number, rounds to voters
What is 30% of 150?
What is 30% of 150?
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One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:
30% = 0.30
Then, multiply this number times 150:

Your answer is
.
One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:
30% = 0.30
Then, multiply this number times 150:
Your answer is .
What is
of
?
What is of
?
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One way to figure out what number is a percentage of a larger number is to convert the percent into a decimal and multiply it by the whole number. Since
is equal to
, multiply this by
.

is your answer.
One way to figure out what number is a percentage of a larger number is to convert the percent into a decimal and multiply it by the whole number. Since is equal to
, multiply this by
.
is your answer.
What is
of
?
What is of
?
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Rewrite
as a decimal by writing
with a decimal point, then shifting it two spaces left:

Multiply this by
:

Rewrite as a decimal by writing
with a decimal point, then shifting it two spaces left:
Multiply this by :
If
is
of
, what is
of
?
If is
of
, what is
of
?
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We can solve for
with the algebraic equation:



We can then calculate
of
:

We can solve for with the algebraic equation:
We can then calculate of
:
What is
of
?
What is of
?
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We can convert
to
or
. We can then calculate
.
We can convert to
or
. We can then calculate
.
What is 8,000% of 9,000?
What is 8,000% of 9,000?
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Taking 8,000%, as a decimal, is equivalent to multiplying it by
, so 8,000% of 9,000 is equivalent to
.
Taking 8,000%, as a decimal, is equivalent to multiplying it by , so 8,000% of 9,000 is equivalent to
.
What is 3.33% percent of 3.33?
What is 3.33% percent of 3.33?
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Taking 3.33% percent of a number is the same as multiplying it by 0.0333, so 3.33% percent of 3.33 is equal to
.
Taking 3.33% percent of a number is the same as multiplying it by 0.0333, so 3.33% percent of 3.33 is equal to
.
What is
of
?
What is of
?
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of
can be rewritten as




of
can be rewritten as
What is
of
?
What is of
?
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of
is equal to:



Cross-cancel:


of
is equal to:
Cross-cancel:
What is 220% of 0.00022?
What is 220% of 0.00022?
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220% of a number is 2.2 multiplied by that number, so 220% of 0.00022 is equal to
.
220% of a number is 2.2 multiplied by that number, so 220% of 0.00022 is equal to
.
Jill, Jack, and Mark all own equal stock in a company totaling
%. They each give Larry
% and after Larry bought the remaining stock. Larry now believes he owns
%. Is this true or false?
Jill, Jack, and Mark all own equal stock in a company totaling %. They each give Larry
% and after Larry bought the remaining stock. Larry now believes he owns
%. Is this true or false?
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Larry bought the remaining stock which was
%
. Then was given
% by three different individuals
. Larry then owned
%
not
%
Larry bought the remaining stock which was %
. Then was given
% by three different individuals
. Larry then owned
%
not
%
is what percent of
?
is what percent of
?
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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:

Now we cross multiply 25 times x and 12 times 100 to get:

Dividing both sides by 25 will give us the percent.

On the left side the 25's will cancel to give us x, on the right side we may need to do some long division to eventually find that 1200/25 = 48.
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:
Now we cross multiply 25 times x and 12 times 100 to get:
Dividing both sides by 25 will give us the percent.
On the left side the 25's will cancel to give us x, on the right side we may need to do some long division to eventually find that 1200/25 = 48.
There are 1000 birds. 68% of the birds are green. How many birds are green?
There are 1000 birds. 68% of the birds are green. How many birds are green?
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One way to solve this problem is to use cross multiplication. 
So in order to determine the number of green birds, set this proportion equal to
.
Therefore, 
Cross multiply to get 
. Now divide both sides of the equation by 100 to get

A faster way to solve this problem is to recognize that 100 and 1000 differ by only one decimal place (1000 has an extra zero). Therefore, in order to determine 68% of 1000, simply add an extra zero to 68 and you have 680 birds.
One way to solve this problem is to use cross multiplication.
So in order to determine the number of green birds, set this proportion equal to.
Therefore,
Cross multiply to get
. Now divide both sides of the equation by 100 to get
A faster way to solve this problem is to recognize that 100 and 1000 differ by only one decimal place (1000 has an extra zero). Therefore, in order to determine 68% of 1000, simply add an extra zero to 68 and you have 680 birds.
70% of snacks served at a café are healthy while the rest of the snacks are unhealthy. There are 500 snacks. How many of these snacks are unhealthy?
70% of snacks served at a café are healthy while the rest of the snacks are unhealthy. There are 500 snacks. How many of these snacks are unhealthy?
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First, we need to determine the percentage of snacks that are unhealthy. To do this, we subtract
Therefore, 30% of snacks are unhealthy.
The quick estimation method allows us to compute this problem quickly and save time on later questions. To begin, we need to determine 10% of the total amount of snacks. In order to find 10% of a number, simply move the decimal point one place to the left. So, 10% of 500 snacks is 50 snacks.
We want to determine how many snacks constitute 30% of the total amount of snacks. 30% is 3 times 10% so all we need to do is multiply 10% (50 snacks) by 3. Therefore,
are unhealthy.
First, we need to determine the percentage of snacks that are unhealthy. To do this, we subtract
Therefore, 30% of snacks are unhealthy.
The quick estimation method allows us to compute this problem quickly and save time on later questions. To begin, we need to determine 10% of the total amount of snacks. In order to find 10% of a number, simply move the decimal point one place to the left. So, 10% of 500 snacks is 50 snacks.
We want to determine how many snacks constitute 30% of the total amount of snacks. 30% is 3 times 10% so all we need to do is multiply 10% (50 snacks) by 3. Therefore,
are unhealthy.