To find the number \( x \) such that 34.6% of \( x \) equals 89, you can set up the equation:

\[
0.346 \times x = 89
\]

Now, solve for \( x \) by dividing both sides by 0.346:

\[
x = \frac{89}{0.346}
\]

Let's calculate this:

\[
x \approx \frac{89}{0.346} \approx 257.23
\]

So, the number is approximately **257.23**.

Would you like further details or have any other questions?

Here are 5 related questions for practice:
1. What number is 45% of 120?
2. If 60% of a number is 150, what is the number?
3. 25% of which number equals 75?
4. What is 34.6% of 400?
5. Find the number if 89% of it equals 178.

**Tip:** Remember that "percent" means "per hundred," so 34.6% can be expressed as 34.6/100 or 0.346 in decimal form.

Solve the problem where 34.6% of a number equals 89 using algebra and percentage concepts. Follow this step-by-step guide to find the number, approximately 257.23. Suitable for Grades 6-8 math students.

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