One approach is to write and solve an equation, where 90% of some number is 54.

Understand the Problem

The question involves solving an equation related to percentages and unknowns. It aims to understand how to express and solve equations for unknown numbers based on given conditions.

Answer

The unknown number is $60$.

Steps to Solve

Set up the equation

We need to express the problem mathematically. Given that 90% of a number (let's call it $x$) is 54, we can write the equation as:

$$ 0.9x = 54 $$

Isolate the variable

To find $x$, we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.9:

$$ x = \frac{54}{0.9} $$

Calculate the result

Now, we perform the division:

$$ x = 54 \div 0.9 $$

To simplify the calculation, you can multiply the numerator and denominator by 10:

$$ x = \frac{540}{9} $$

Final Calculation

Now, divide 540 by 9:

$$ x = 60 $$

The value of the unknown number is $60$.

More Information

This problem demonstrates how to set up a simple equation based on a percentage. Understanding how to isolate variables is crucial in solving algebraic equations.

Tips

Misinterpreting percentages: Sometimes students confuse the percentage with the actual number. Ensure you understand that 90% refers to the fraction 0.9.
Incorrect division: Ensure you're careful with calculator operations, particularly with decimals.

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