To set up a proportion for the statement "100 is 250% of _____," we can represent it mathematically as follows:
Let \( x \) be the value we are trying to find. The statement can be converted into the proportion:
\[ 100 = 250% \times x \]
Since 250% can be converted into a decimal form, we get:
\[ 250% = \frac{250}{100} = 2.5 \]
Now, we rewrite our equation:
\[ 100 = 2.5 \times x \]
To solve for \( x \), we can set up the proportion as:
\[ \frac{100}{x} = \frac{250%}{100} \]
Cross-multiplying gives:
\[ 100 \cdot 100 = 250 \cdot x \]
This simplifies to:
\[ 10000 = 250x \]
Now, solving for \( x \):
\[ x = \frac{10000}{250} \]
Calculating the right side:
\[ x = 40 \]
So, 100 is 250% of 40.