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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