# Worksheet on Percentage of a Number with Solutions | Finding Percentage Worksheets

Scholars who want to learn about the Percentage of the number can refer to this worksheet. This worksheet helps you with a detailed explanation of the percentage of a number by which you can answer any kind of question on it. And this Worksheet on Percentage of a Number will encourage you with certain tips and tricks to tackle the issues utilizing some alternate way, and also tells you how to find the percentage of the number. You can avail Percentage Worksheets of ours to clear your doubts on the concept. Let’s see below about percentage in detail by taking enough examples.

## What is the Percentage?

A Percentage refers to per hundred which is used to share the amount or any other thing in terms of hundred. The percentage can be represented with the symbol %.  It is also used to define a portion of a fraction of a whole. This percentage can be applied for decimals, fractions.

## How to find the Percentage of a Number?

To find the percentage of the number, we will multiply the given fraction or a decimal by 100 and then we will add the percent symbol. For example, if X is the number to calculate the percentage that represents Y, then we will divide Y by X, and then we will multiply the result by 100. After that, we will add the percent symbol %. Below, we can see some examples on how to find the percentage of the numbers with solutions.

1. Solve the given below:

(i) 15 % of 150

(ii) 20 % of \$ 500

(iii) 6% of 20 km

(iv) 12.5 % of 2000 kg

Solution:

(i) 15 % of 150

Given 15% of 150, which means
15/100 ×150
on solving we will get
= 22.5.

(ii) 20 % of \$ 500

Given 20% of 500, which means
20/100 ×500
on solving we will get
= \$100.

(iii) 6% of 20 km

Given 6% of 20, which means
6/100 ×20
on solving we will get
= 1.2 km

(iv) 12.5% of 2000 kg

Given 12.5% of 2000, which means
12.5/100 ×2000
on solving we will get
= 25 kg.

2. How many liters is 12% of 90 liters?

Solution:

Given 12% of 90l, which means
12/100 × 90
on solving we will get
= 10.8 liters.

3. What will be 35% of 500 grams?

Solution:

Given 35% of 500, which means
35/100 ×500
on solving we will get
= 175 grams.

4. The bus was occupied by 60% and if the total seats on a bus are 70, how many seats were available?

Solution:

As the bus was occupied by 60%,
and total seats on a bus are 70, so
60/100 × 70
on solving we will get 42.
So 42 seats are occupied.
To find available seats, we will subtract the total seats with occupied seats.
On solving we will get 28 seats.
The number of seats available is 28.

5. Mike earns \$5280 per month and spends 45% of it. What will be the savings Mike for every month?

Solution:

Mike earns \$5280 per month and spends 45%, which means
\$5280 × 45/100 on solving we will get
\$2,376.
So Mike spends \$2,376 every month.
To find the savings of Mike, we will subtract his earning by savings
On solving we will get
\$2,904.

6. 75% of students cleared in their exams out of 1500 students. Find the number of students who have cleared the exams?

Solution:

The total number of students is 1500 and in them 75% of students cleared in the exams,
which means 1500 × 75/100
on solving we will get 1,125 students cleared the exams.

7. As a year-end sale the shopkeeper offers a discount of 25% on every item. What will be the discount on every item worth \$1500?

Solution:

The discount offers by the shopkeeper on each item is 25%,
and the price of goods sold with discount is \$1500.
So the discount offers are
\$1500 × 25/100
on solving \$375.

8. Mr. Jack bought a bicycle for a discount of 20% and the original price of the bicycle is \$6,000. What will be the price of the bicycle after the discount?

Solution:

The original price of the bicycle is \$6,000
and the discount that Jack got is 20%
which means 20% of \$6,000
20/100 × 6000
on solving we will get
\$1,200
So, the price of the bicycle after the discount is
\$6,000 – \$1,200= \$ \$4,800.