#### Need Help?

Get in touch with us

# Finding the Whole Quantity Given a Part and a Percent

## Introduction:

You can display percent in several ways, such as 0.01 or 0.1 and also in fractional form.

You have heard the word percent on a broader level. In this session, you will learn how to find the whole quantity when a part and a percent is given.

To determine totals from a percent in the future, multiply the given percentage value by 100 and divide that product by the percent. This method works in any instance where a percentage and its value are given.

We can use this equation to find the unknown value,

PartWhole= Percent100PartWhole= Percent100

### Double line diagram

Using Equation

Let’s use a double line diagram and Equation to find the Unknown Whole.

Method 1: Double line diagram

Example 1: Joe scores 104 marks in his entrance test, which is 80% of total marks. Find  the total marks.

104 ÷8 = 13

So, 13 × 10 = 130

Therefore, 80% of 130 is 104.

Method 2: Use Equation

Example 1:  You spent \$10 or 20% of your pocket money in the first three days of the month. Find the total pocket money you got.

Solution: Here we have, part = \$10, percent = 20%, whole = ?

Now, using the equation,

Example2: Jose got 8 questions right on his test. If his grade was 80%, how many questions were on the test?

Solution: Here we have, part = 8 questions, percent = 80%, whole =?

Now, using the equation,

### More Word Problems: Understand Percent

Example: Two of the pets at the pet store are birds. If it is 10% of the pets at the store. How many pets are at the store?

Solution:

Here we have, part = 2, percent = 10%

Whole =?

Using an equation,

### Concept Map:

#### Composite Figures – Area and Volume

A composite figure is made up of simple geometric shapes. It is a 2-dimensional figure of basic two-dimensional shapes such as squares, triangles, rectangles, circles, etc. There are various shapes whose areas are different from one another. Everything has an area they occupy, from the laptop to your book. To understand the dynamics of composite […] #### Special Right Triangles: Types, Formulas, with Solved Examples.

Learn all about special right triangles- their types, formulas, and examples explained in detail for a better understanding. What are the shortcut ratios for the side lengths of special right triangles 30 60 90 and 45 45 90? How are these ratios related to the Pythagorean theorem?  Right Angle Triangles A triangle with a ninety-degree […] #### Ways to Simplify Algebraic Expressions

Simplify algebraic expressions in Mathematics is a collection of various numeric expressions that multiple philosophers and historians have brought down. Talking of algebra, this branch of mathematics deals with the oldest concepts of mathematical sciences, geometry, and number theory. It is one of the earliest branches in the history of mathematics. The study of mathematical […]   