What are Percentages?

In order to understand percentages and calculate percentages, we first need to understand two basic things:

  • How to find a part of a whole without percentages
  • How to find a part of a whole with percentages

When we talk about percentages, we 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.

Let's demonstrate this using two examples.

Example 1.

What is 141\over4 of 2020?

Solution:

When we are asked to find a part (141\over4) of a whole (2020), we need to multiply the part by the whole.

Therefore we get: 1420=204=5\frac{1}{4} \cdot 20 = \frac{20}{4} = 5

Example 2.

A shirt cost 4040 Dollars and now it's on sale with a 2020% 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 actually 8080% (before the reduction the price was 100100%).

8080% is actually 80100=810=0.8\frac{80}{100}= \frac{8}{10}= 0.8.

To calculate 8080% of 4040, we perform a simple multiplication - 400.8=3240\cdot0.8 = 32.

In other words, the price of the shirt after the price reduction is 3232 shekels.

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