Question

If 144 represents 40% how much does 20% represent?

Answer 1

In the context of the question where 144 represents 40%, 20% represents 72. This is determined by first finding the total value and then calculating 20% of this total.

Step-by-step explanation:

If 144 represents 40%, we can set up a ratio to find out what 20% represents, since percentages are a comparative way to represent proportions. To find the value that corresponds to 20%, we can follow these steps:

1. First, understand that the number 144 is 40% of some total amount. We can express this as 144 = 0.40 × total amount.
2. To find the total amount, divide 144 by 0.40. So, the total amount = 144 / 0.40.
3. Once we have the total amount, we can then find what 20% of this amount is by multiplying the total amount by 0.20.

Using this process:

1. Calculate the total amount: total amount = 144 / 0.40 = 360.
2. Then calculate 20% of the total amount: 20% of total amount = 0.20 × 360 = 72.

So, 20% represents 72 in this context.