Question

36.8% of what number is 28.52?

Answer 1

The correct answer is: 36.8% of 77.5 is 28.52

Step-by-step explanation:

Simply translate "36.8% of what number is 28.52" mathematically as follows:

36.8% * x = 28.52 --- (1)

x represents "what number" in the sentence

= represents "is."

Now, we can write 36.8% as
`(36.8)/(100)` when we remove the % symbol. Rewrite equation (1) as follows:

`(36.8)/(100) * x = 28.52`

Now evaluate for x:

`(36.8)/(100) * x = 28.52 \\ x = (100)/(36.8)*28.52 = 77.5 \\`

Hence the correct answer is 36.8% of 77.5 is 28.52.

Answer 2

To solve this problem we can use the rule of 3 and solve for x. Let's equate it as the following:

28.52/x=36.8/100

Why did I represent it like that?
In the first numerator we have the known quantity (28.52). In the second numerator we'll need the percentage that 28.52 represents (because the second fraction will represent percents). This will be 36.8%
The first denominator is x (the number we want to figure out). That number represents 100%. Hence the 100 as the second denominator.

To solve for x we need to do the following:
x=(28.52*100)/ 36.8
x=2852/36.8
x=77.5

Answer: 28.52 is 36.8% of 77.5