College

319.8 is what percent of [tex]$82$[/tex]?

[tex]319.8[/tex] is [tex]\square\%[/tex] of [tex]82[/tex].

(Simplify your answer.)

Answer :

To find out what percent 319.8 is of 82, you can follow these steps:

1. Understand the Concept: When you want to find out what percent a number (319.8) is of another number (82), you are essentially determining the ratio of the two numbers and then expressing that ratio as a percentage.

2. Set Up the Ratio: Start by dividing the number in question (319.8) by the total number (82):

[tex]\[
\text{Ratio} = \frac{319.8}{82}
\][/tex]

3. Calculate the Decimal: Perform the division to find the ratio:

[tex]\[
\text{Ratio} = 3.9024390243902436
\][/tex]

4. Convert to Percentage: To convert this decimal to a percentage, multiply it by 100:

[tex]\[
\text{Percentage} = 3.9024390243902436 \times 100
\][/tex]

5. Result: Thus, 319.8 is 390% of 82.

So, the final answer is:

319.8 is 390% of 82.