ISEE Middle Level Quantitative Reasoning › How to find the part from the whole with percentage
What is 35% of 200 ?
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.
What is of
?
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
.
What is 1.11% percent of 1.11?
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
.
Which is larger?
a. 10% of 90
b. 5% of 160
c. 20% of 50
d. 30% of 40
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.
What number is 85% of 560?
To determine the number that is 85% of 560, convert the percentage to a decimal:
Then multiply:
The correct answer is
Write as a decimal.
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:
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?
Multiply:
Then, subtract that amount from the original price:
Answer: $49.60
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?
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
What is of
?
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
.
What is of
?
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
.