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The problem presented is in Spanish and translates to:

"The \( a\% \) of 300 is \( b \), and the \( b\% \) of 30 is 27. Calculate the value of \( a \)."

We can break this down into two equations.

1. \( \frac{a}{100} \times 300 = b \) 
2. \( \frac{b}{100} \times 30 = 27 \)

### Step 1: Solve for \( b \) from the second equation
\[
\frac{b}{100} \times 30 = 27
\]
Multiply both sides by 100 to eliminate the fraction:
\[
b \times 30 = 2700
\]
Solve for \( b \):
\[
b = \frac{2700}{30} = 90
\]

### Step 2: Substitute \( b = 90 \) into the first equation
\[
\frac{a}{100} \times 300 = 90
\]
Multiply both sides by 100:
\[
a \times 300 = 9000
\]
Solve for \( a \):
\[
a = \frac{9000}{300} = 30
\]

Thus, the value of \( a \) is **30**.

Would you like more details or clarifications on this solution?

Here are 5 related questions:
1. How do percentages work in more complex equations?
2. How can we use percentages in real-world applications?
3. What is the general formula to calculate a percentage of a number?
4. How do changes in one variable (e.g., \( b \)) affect the other in percentage equations?
5. Can we solve for two variables simultaneously in different contexts?

**Tip**: When dealing with percentage problems, converting percentages into fractions or decimals can simplify calculations.

El a% de 300 es b, y el b% de 30 es 27. Calcule el valor de a.

Learn how to calculate the value of 'a' in this percentage problem where a% of 300 equals b, and b% of 30 equals 27. The solution involves solving two algebraic equations step-by-step. Suitable for students in Grades 6-8.

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