How to find the part from the whole with percentage

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ISEE Middle Level Quantitative Reasoning › How to find the part from the whole with percentage

Questions 1 - 10
1

What is 35% of 200 ?

Explanation

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

We can cancel the zeros to make things easier.

2

What is of ?

Explanation

To find a percentage of a whole, we will first write the percentage as a fraction. We know that all percentages can be written as a number over 100. So,

Now, we will multiply the fraction by the whole number. We get

Now, we can simplify/multiply.

We write 150 as a fraction over 1.

We can cancel out the zero in 150 and the zero in 100.

We can cancel out the zero in 30 and the zero in 10.

Now, we can multiply.

Therefore, of is .

3

What is 1.11% percent of 1.11?

Explanation

Taking 1.11% percent of a number is the same as multiplying it by 0.0111, so

1.11% percent of 1.11 is equal to

.

4

Which is larger?

a. 10% of 90

b. 5% of 160

c. 20% of 50

d. 30% of 40

Explanation

First find the percentage amount for each choice by multiplying the number by the percentage amount

a.

b.

c.

d.

Then compare the amounts to find the largest.

The answer is (d) 12.

5

What number is 85% of 560?

Explanation

To determine the number that is 85% of 560, convert the percentage to a decimal:

Then multiply:

The correct answer is

6

Write as a decimal.

Explanation

To convert a percentage into a decimal, divide the number by 100.

Here's a trick: Simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 42 as 42.0 (or 42. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

7

A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?

Explanation

Multiply:

Then, subtract that amount from the original price:

Answer: $49.60

8

A laptop computer is on sale for 40% less than the original price. If the original price is $345.00, what is the laptop's current sale price?

Explanation

First, multiply the original price by the sale percentage:

Then, subtract that amount from the original price to get the sale price:

.

The laptop's current sale price is

9

What is of ?

Explanation

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, given the problem

of

we can re-write it as

Now, to multiply, we will write both numbers as fractions. So, to write as a fraction, we know percentages can be written as fractions over 100. So, we get

Now, to write as a fraction, we know whole numbers can be written as fractions over 1. So, we get

Now, before we multiply, we will simplify to make things easier. The zero in can cancel a zero in . So, we get

Now, the zero in can cancel the zero in . So, we get

Now, we can multiply straight across. We get

Therefore, of is .

10

What is of ?

Explanation

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, in the problem

of

we can write it as

Now, we will write the percentage as a fraction. To do that, we write the number over 100. So,

To multiply, we also need to write 30 as a fraction. To do that, we write the whole number over 1. So,

Now, before we multiply, we will simplify to make things easier. The zero in 100 can cancel the zero in 30. So,

Now, we will multiply straight across. We get

Therefore, of is .

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