To solve the problem "495 is 55 percent of what number?", we can set up the equation using the known relationship between percentage and its base.
Let \( x \) be the unknown number. The mathematical expression representing the problem can be written as:
\[ 495 = 0.55 \cdot x \]
From this, you can rearrange the equation to solve for \( x \):
\[ x = \frac{495}{0.55} \]
Resolving this gives the required number of which 495 is 55%.
Among the options you presented, the first statement can be interpreted in the context of percentage calculations:
\[ \frac{55}{100} \cdot x = 495 \]
However, the specific statements you listed don't directly solve this equation but represent various mathematical manipulations. If we look specifically for an equation that could possibly lead us to a correct analysis for percentages, we can utilize the relationship shown in the first option rather than trying to match your exact equations.
To summarize, the initial setup \( 495 = 0.55 \times x \) is the correct approach to solve for what number 495 is 55% of.
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