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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:

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