What are Percentages?
In order to recognise and calculate percentages, we need to understand two basic concepts:
In order to recognise and calculate percentages, we need to understand two basic concepts:
When we are discussing percentages, one should always ask the question "percentage of what?", meaning, there must be some whole from which the percentage is calculated. The whole serves as a reference point for the percentages.
Calculate 6% of 100:
Let's demonstrate this using two examples.
What is of ?
Solution:
When we are asked to find a part () of a whole (), we need to multiply the part by the whole.
Therefore we obtain the following:
A shirt originally cost dollars and it's currently on sale with a discount.
We are asked to calculate the price of the shirt after the price reduction.
Solution:
After the price reduction, the shirt's price is (before the reduction the price was ).
is actually .
In order to calculate of , we perform a simple multiplication - .
In other words, the price of the shirt after the price reduction is dollars.
Calculate 3% of 100:
Calculate 32 over 100 as a percentage:
Calculate 40 over 100 as a percentage:
Calculate 6% of 100:
To solve the problem of calculating 6% of 100, we follow these clear steps:
Therefore, the solution to the problem is 6.
6
Calculate 3% of 100:
To solve this problem, we'll proceed with the following steps:
Therefore, the 3% of 100 is .
3
Calculate 32 over 100 as a percentage:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem gives us the fraction .
Step 2: Since the denominator is 100, the fraction directly represents a percentage.
Step 3: This means that is simply .
Therefore, the solution to the problem is .
32%
Calculate 40 over 100 as a percentage:
To solve this problem, we'll follow these steps:
Therefore, 40 over 100 as a percentage is .
40%
Calculate 65 over 100 as a percentage:
To find what percentage 65 is out of 100, use the formula:
Substitute the given values:
Solve the expression:
So, 65 out of 100 is 65%.
65%