Answer :

To find out what number 85 is 2.5% of, you can follow these steps:

1. Understand the percentage relationship: The statement "85 is 2.5% of some number" can be rewritten as an equation. Let [tex]\( x \)[/tex] be the number we're trying to find.

So, [tex]\( 85 = 2.5\% \)[/tex] of [tex]\( x \)[/tex].

2. Convert the percentage to a decimal: Percentages are easier to work with when converted into decimals. To convert 2.5% to a decimal, divide by 100:

[tex]\[
2.5\% = \frac{2.5}{100} = 0.025
\][/tex]

3. Set up the equation: From the percentage relationship, we have:

[tex]\[
85 = 0.025 \times x
\][/tex]

4. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.025:

[tex]\[
x = \frac{85}{0.025}
\][/tex]

5. Perform the division: Compute the value of [tex]\( x \)[/tex]:

[tex]\[
x = 3400
\][/tex]

Therefore, 85 is 2.5% of 3400.

So, the correct answer is:
- 3400

This means the corresponding option is:
- Option 3: 3400

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